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Contents

Teacher’s Guide

How to Use this Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv

PARCC Assessment Item Types

Selected-Response Items. . . . . . . . . . . . . . . . . . . . . . . .vii

Constructed-Response Items . . . . . . . . . . . . . . . . . . . xi

Countdown to PARCC

Weeks 20 to 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .13

Chapter Tests

Chapter 1 Test. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53

Chapter 2 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .59

Chapter 3 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .65

Chapter 4 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .71

Chapter 5 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77

Chapter 6 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83

Chapter 7 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89

Chapter 8 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .95

Chapter 9 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .101

Chapter 10 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107

Chapter 11 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .113

Chapter 12 Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .119

Chapter Performance Tasks

Chapter 1 Performance Task. . . . . . . . . . . . . . . . . . . 125

Chapter 2 Performance Task . . . . . . . . . . . . . . . . . . 127


Chapter 4 Performance Task . . . . . . . . . . . . . . . . . . .131





Chapter 9 Performance Task . . . . . . . . . . . . . . . . . . .141

Chapter 10 Performance Task . . . . . . . . . . . . . . . . . 143

Chapter 11 Performance Task. . . . . . . . . . . . . . . . . . 145

Chapter 12 Performance Task . . . . . . . . . . . . . . . . . 147

Benchmark Tests

Benchmark Test, Chapters 1–4. . . . . . . . . . . . . . . . 149

Benchmark Test, Chapters 5–8 . . . . . . . . . . . . . . . 157

Benchmark Test A, Chapters 1–12 . . . . . . . . . . . . 165

Benchmark Test B, Chapters 1–12 . . . . . . . . . . . . 177

Answers and Rubrics

Countdown to PARCC . . . . . . . . . . . . . . . . . . . . . . . . . . 193

Chapter Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213

Performance Task Rubrics and Sample Student Work . . . . . . . . . . . . . . . 249

Benchmark Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 320

iii

Program: SBAC Component: Ancillary Final Pass

Vendor: Lumina Grade: 5

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ill Education. Permission is granted to reproduce for classroom

use.Teacher’s Guide to PARCC Assessment

Preparation

Whether it is the print Power Up for PARCC Assessment or online at ConnectED.mcgraw-hill.com, McGraw-Hill My Math helps students prepare for the PARCC testing.

How to Use this Book

Power Up for the PARCC Assessment includes experiences needed to prepare students for the upcoming PARCC assessment. The exercises in this book give students a taste of the different types of questions that may appear on the PARCC test.


• Familiarizes students with commonly-seen item types

• Each type comes with a description of the online experience, helpful, hints, and a problem for students to try on their own.

Countdown to PARCC

• Prepares students in the 20 weeks leading up to the PARCC assessment

• Consists of five problems per week, paced with order of the McGraw-Hill My Math Student Edition with built in review.

• Ideas for Use Begin use in October for pacing up to the beginning of March. Assign each weekly countdown as in-class work for small groups, homework, a practice assessment, or a weekly quiz. You may assign one problem per day or have students complete all five problems at once.

Chapter Tests

• Each six-page test assesses all of the Common Core State Standards for Mathematics presented in the chapter.

• Each question mirrors an item type that might be found on the PARCC assessment, including multi-part questions.

• Ideas for Use Assign as in-class group work, homework, a practice assessment, a diagnostic assessment before beginning the chapter, or a summative assessment upon completing the chapter.

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use.

3. Choose two different ways you could write the number represented by the grids shown? Explain your reasoning.

4. Long jumps have the following distances: 16.08 m, 16.1 m, 16.02 m, 16.20 m.

Part A: Place a dot on the number line and label for each given distance.

16.00 16.02 16.04 16.06 16.08 16.10 16.12 16.14 16.16 16.18 16.20

16.08 16.10 16.2016.02

Part B: Which jump was the longest?

5. Compare each number to 2.15. Use the symbols <, >, or =.

2.150 2.15

2 + 15 __ 10

2.15

2 ones and 15 thousandths 2.15

215 hundredths 2.15

POWER UP FOR PARCC On the actual test, you might be asked to place dots in their appropriate locations with a point tool. In this book, draw and label the point with your pencil online tools.

5.NBT.3.a

5.NBT.3.b

5.NBT.3.a, 5.NBT.3b

Sample answer: 3.24, 3 + 2 __ 10

+ 4 ___

100 ; The grids have

3 whole grids, two columns, and 4 extra blocks, which represent ones, tenths, and hundredths respectively.

16.20 m

>

<

=

=

14 Grade 5 • Countdown 20 Weeks

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NAME DATE

SCORECountdown: 20 Weeks

1. Ben is playing a game with his friend Keke. The person who is able to compose the greatest six-digit number wins. After six spins, they have the numbers 5, 8, 5, 0, 6, and 3. The table shows the numbers they each composed.

Ben 860,553

Keke 865,530

Part A: Who composed the greatest six-digit number? Explain.

Part B: Shade the box in front of each number whose value falls between Keke’s number and Ben’s number.

860,550 863,492 806,553 865,529 864,942 860,552

Part C: Place the numbers from Part B in order from least to greatest.

2. Arjun is putting his football cards in order from lowest number to highest number. He only has two cards in the 300s. One card is number 361. The other card is damaged, but he can read part of the number 3__4. Which actual card numbers would be greater than 361? Which actual card numbers would be less than 361?

POWER UP FOR PARCC On the actual test, you might be asked to drag the numbers into the space provided. In this book, you will be asked to write the numbers instead.

5.NBT.1

5.NBT.1

Keke. Sample answer: When comparing the value of numbers, each digit to the left is 10 times greater than the digit to its right. So, the larger digits should be in the greatest place-value positions all the way down to the ones position. The zero in Ben’s number should be in the ones position.

806,553; 860,550; 860,552; 863,492; 864,942; 865,529

304, 314, 324, 334, 344, 354 are less than 361. 364, 374, 384, 394 are all greater than 361.

Grade 5 • Countdown 20 Weeks 13

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Chapter Performance Tasks

• Each two-page performance task measures students’ abilities to integrate knowledge and skills across multiple standards. This helps students prepare for the rigor expected in college and future careers.

• A rubric describes the standards assessed and guidelines for scoring student work for full and partial credit.

• Sample student work is also included in the answer section of this book.

• Ideas for Use Assign as in-class small group work, homework, a practice assessment, or in conjunction with the Chapter Test as part of the summative assessment upon completion of the chapter.

Benchmark Tests

Four benchmark tests are included in this book. All problems on the tests mirror the item types that may be found on the PARCC assessment. Each benchmark test also includes a performance task.

• The first benchmark test is an eight-page assessment that addresses the CCSS from the first third of the Student Edition.

• The second benchmark test addresses the second third of the Student Edition.

• The third and fourth benchmark tests (Forms A and B) are twelve-page assessments that address the CCSS from the entire year, all chapters of the Student Edition.

• A rubric is provided in the Answer section for scoring the performance task portion of each test.

• Ideas for Use Each benchmark test can be used as a diagnostic assessment prior to instruction or as a summative assessment upon completion of instruction. Forms A and B can be used as a pretest at the beginning of the year and then as a posttest at the end of the year to measure mastery progress.

Go Online for More! connectED.mcgraw-hill.com

Additional question analysis for each item in this book is available online. The analysis includes PARCC claims, DOK levels, CCSS assessed, Mathematical Practices implemented, and more.

Performance Task rubrics to help students guide their responses are also available. These describe the tasks students should perform correctly in order to receive maximum credit.

Additional year-end performance tasks are available for Grades 1 through 5 in Countdown to Common Core blackline masters available under Assessment in ConnectED.

Students can also be assigned tech-enhanced questions from the eAssessment Suite in ConnectED. These questions provide not only rigor, but the functionality students may experience when taking the online PARCC assessment.

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use.

Performance Task (continued)

Part CWhile the manager is tempted to set a new record by producing more units than have ever been produced in a year, he knows that people are not buying as many components as they used to, and he does not want to make more units than can be sold. He decides to set the goal of producing the third highest number of components in company history. Suggest a goal for the factory manager.

Part DIn researching the company financial reports, the factory manager discovers that the factory must produce at least 1,570,000 units in a year in order to make a profit. Does your goal from Part C meet this requirement? If so, explain why. If not, offer the factory manager a new goal that meets both requirements.

Part EThe factory manager’s supervisor indicates that it is absolutely essential that the total number of units sold in years 6, 7, and the new year 8 be at least 4,500,000. Explain why the goal you gave the factory manager in Part D will also meet this new requirement.

5.NBT.1, 5.NBT.3

5.NBT.1, 5.NBT.3

5.NBT.1, 5.NBT.3

126 Grade 5 • Chapter 1 Place Value

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Performance Task

Setting GoalsA factory produces electronic components. The new manager wants to set a goal for how many units will be produced in the upcoming year.

Write your answers on another piece of paper. Show all your work to receive full credit.

Part AThe factory has existed for seven years. The chart below gives the number of components produced by the factory each year.

Year Components

1 1,432,426

2 1,532,199

3 1,432,501

4 1,570,672

5 1,600,121

6 1,423,411

7 1,531,199

The factory manager needs to put the data in order so that he can make a decision on the next year’s goal. Order the data from least to greatest.

Part BThe factory manger asks his assistant manager to give input for the production goal. The assistant manager suggests 1,423,000 units. Explain why this goal may not be appropriate.

NAME DATE

SCORE

5.NBT.1, 5.NBT.3

5.NBT.1, 5.NBT.3

Grade 5 • Chapter 1 Place Value 125

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In the spring, you will take the PARCC Test for Math. It is a test that is taken on a computer. The problems on the next few pages show you the kinds of questions you might have to answer and what to do to show your answer on the computer.

Selected Response means that you are given answers from which you can choose.

Selected Response Items

Regular multiple choice questions are like tests you may have taken before. Read the question and then choose the one best answer.

Multiple Choice

Four yards of fabric will be cut into pieces so that each piece is thirteen inches long. How many pieces can be cut?

6 pieces with 2 inches left over

7 pieces with 1 inch left over

10 pieces with 2 inches left over

11 pieces with 1 inch left over

Try On Your Own!

Four boxes to be mailed are weighed at the post office. Box A weighs 8.22 pounds, Box B weighs 8.25 pounds, and Box C weighs 8.225 pounds. Box D weighs less than Box C but more than Box A. How much could Box D weigh?

8.22 pounds

8.224 pounds

8.226 pounds

8.23 pounds

ONLINE EXPERIENCE Click on the box to select the one correct answer.

HELPFUL HINT Only one answer is correct. You may be able to rule out some of the answer choices because they are unreasonable.

PARCC Assessment Item Types vii



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use.Sometimes a multiple choice question may have more than one answer that is correct. The question may or may not tell you how many to choose.

Multiple Correct Answers i

Select all values that are equivalent to 332 ounces.

2 gallons, 76 ounces

20 pints, 12 ounces

22 pints, 8 ounces

41 cups, 5 ounces

41 cups, 4 ounces

Try On Your Own!

Select all statements that are true.

All rhombuses are parallelograms.

All trapezoids are parallelograms.

All rectangles are trapezoids.

All squares are rectangles.

ONLINE EXPERIENCE Click on the box to select it.

HELPFUL HINT Read each answer choice carefully. There may be more than one right answer.

viii PARCC Assessment Item Types



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Another type of question asks you to tell whether the sentence given is true or false. It may also ask you whether you agree with the statement, or if it is true. Then you select yes or no to tell whether you agree.

Multiple True/False or Multiple Yes/No

Determine whether each polygon shown is also a rhombus. Select Yes or No for each polygon.

Yes No

Try On Your Own!

Select True or False for each comparison.

True False

200 centimeters > 1.5 meters

36 inches > 2 yards

1 gallon > 12 cups

2 miles < 3,500 yards

ONLINE EXPERIENCE Click on the box to select it.

HELPFUL HINT There is more than one statement. Any or all of them may be correct.

PARCC Assessment Item Types ix



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use.You may have to choose your answer from a group of objects.

Click to Select

A rectangular prism has a length of 12 centimeters, a width of 8 centimeters, and a height of 32 centimeters. Which equations could be used to find the volume of the rectangular prism in cubic centimeters?

12 + 8 + 32 = V 12 × 8 × 32 = V

(12 + 8) × 32 = V (32 × 8) × 12 = V

96 × 32 = V 18 × 32 = V

Try On Your Own!

Select all expressions that are equal to 5 1 __ 3 .

16 × 1 __ 3 2 1 __

3 × 2 2 __

3 32 ×

1 _ 6

15 × 1 __ 3 8 ×

2 __ 3 3 1 __

3 × 2

ONLINE EXPERIENCE Click on the figure to select it.

HELPFUL HINT On this page you can draw a circle or a box around the figure you want to choose.

x PARCC Assessment Item Types



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When no choices are given from which you can choose, you must create the correct answer. One way is to type in the correct answer. Another may be to make the correct answer from parts that are given to you.

Constructed-Response Items

Fill in the Blank

The table shows the number of laps Tammi ran around the track each day. Complete the table if the pattern continues.

Day Laps

1 4

2 7

3 10

4

5

6

7

Try On Your Own!

Sasha planted a garden in her backyard that is 32 square feet in area. If the length was 8 feet, how many inches wide was the garden?

ONLINE EXPERIENCE You will click on the space and a keyboard will appear for you to use to write the numbers and symbols you need.

HELPFUL HINT Be sure to provide an answer for each space in the table.

1316

1922

48

PARCC Assessment Item Types xi



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use.Sometimes you must use your mouse to click on an object and drag it to the correct place to create your answer.

Drag and Drop

Drag one expression to each box to make the statements true.

Subtract 3 from 9 and then add 2.

=

Add 3 and 9 and then subtract 2.

=

The sum of 3 and 2 is subtracted from 9.

=

3 + 9 - 2 9 - (3 + 2) 9 - 3 + 2

Try On Your Own!

Order from least to greatest by dragging each number to a box.

3.045 3.109 3.103 3.17 3.016 3.059

ONLINE EXPERIENCE You will click on an expression and drag it to the spot it belongs.

HELPFUL HINT Either draw a line to show where the expression goes or write the expression in the blank.

9 - (3 + 2)

3 + 9 - 2

9 - 3 + 2

3.016 3.045 3.059 3.103 3.109 3.17

xii PARCC Assessment Item Types



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Some questions have two or more parts to answer. Each part might be a different type of question.

Multipart Question

Connor is filling a 15-gallon wading pool with water. On his first trip he carried 3 7 __

12 gallons of water. He carried 3 1 __

3 gallons on his second trip,

and 2 1 __ 2 gallons on his third trip.

Part A: How much water did Connor carry to the wading pool on trips 1, 2, and 3?

Part B: How many more gallons will Connor need to carry to the wading pool until it is filled?

9 5 __ 12 gallons

5 7 __ 12 gallons

PARCC Assessment Item Types xiii



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use. Try On Your Own!

This table shows the three different ways that apples are sold at Donaldson’s Fruit Farm in the fall.

Package TypeAmount in

the Package

Bag 12 apples

Box 8 bags

Crate 15 boxes

Part A: Select the expression that can be used to determine the number of bags of apples that are in a crate of apples.

8 × 15

12 + 8 + 15

12 × 8 × 15

12 × 8

Part B: The label on a bag of apples states that it contains 1.25 pounds of apples. What is the total weight, in pounds, of the bags of apples in one crate?

One crate of apples weighs pounds.150

xiv PARCC Assessment Item Types



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NAME DATE


1. Ben is playing a game with his friend Keke. The person who is able to compose the greatest six-digit number wins. After six spins, they have the numbers 5, 8, 5, 0, 6, and 3. The table shows the numbers they each composed.

Ben 860,553

Keke 865,530

Part A: Who composed the greatest six-digit number? Explain.

Part B: Shade the box in front of each number whose value falls between Keke’s number and Ben’s number.

860,550 863,492 806,553 865,529 864,942 860,552

Part C: Place the numbers from Part B in order from least to greatest.

2. Arjun is putting his football cards in order from lowest number to highest number. He only has two cards in the 300s. One card is number 361. The other card is damaged, but he can read part of the number 3__4. Which actual card numbers would be greater than 361? Which actual card numbers would be less than 361?

POWER UP FOR PARCC On the actual test, you might be asked to drag the numbers into the space provided. In this book, you will be asked to write the numbers instead.

5.NBT.1

5.NBT.1




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use.3. Choose two different ways you could write the number represented

by the grids shown? Explain your reasoning.

4. Long jumps have the following distances: 16.08 m, 16.1 m, 16.02 m, 16.20 m.

Part A: Place a dot on the number line and label for each given distance.

16.00 16.02 16.04 16.06 16.08 16.10 16.12 16.14 16.16 16.18 16.20

Part B: Which jump was the longest?


2.150 2.15

2 + 15 __ 10

2.15

2 ones and 15 thousandths 2.15

215 hundredths 2.15

POWER UP FOR PARCC On the actual test, you might be asked to place dots in their appropriate locations with a point tool. In this book, draw and label the point with your pencil online tools.

5.NBT.3.a

5.NBT.3.b

5.NBT.3.a, 5.NBT.3b





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NAME DATE


1. Julian was taking notes for a report on the US population. When reading his notes later, he found he couldn’t read all the numbers. He did remember the following information.

A. The smallest place value position is 4.

B. The number in the millions spot has 1 __ 10

the value

of the number in the ten millions spot.

C. The value of the number 6 is 6 thousands.

Using the hints from above, write the missing digits in the chart.

3 7 8 1 5

2. Julian compared numbers with similar digits. Using mathematical language, explain how each set of numbers is different.

A 53,671 and 52,671

B 354 and 3.54

C 152 and 0152

POWER UP FOR PARCC On the actual test, you might be asked to drag the numbers into the space provided. In this book, you will be asked to write the numbers instead with a pencil.

5.NBT.1

5.NBT.3.a, 5.NBT.3.b





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use.3. There are 10 years in every decade, 100 years in every century, and

1000 years in every millenium.

Part A: How many decades are there in a millenium? Explain.

Part B: How many centuries are there in a millenium? Explain.

4. Compare 3 __ 10

and 3 ___ 100

.

Part A: Shade the decimal models to show each fraction.

Part B: Compare the two decimals. Use >, <, or =. Explain.

5. How can you use models to explain why 3.1 = 3.10?

POWER UP FOR PARCC On the actual test, you may be asked to use a shading tool to shade the models. In this book, you will be asked to use your pencil to shade the models.

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1. Find the prime factorization for the number below.

36 =

2. Each box of paper clips contains 103 clips. The school store has 25 boxes.

Part A: What is the value of 103?

Part B: How many paper clips does the school store have?

POWER UP FOR PARCC On the actual test, you might be asked to use a keyboard for entering the numbers in the boxes. In this book, you will be asked to write the numbers with a pencil instead.

36

3

4

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use.3. A recipe for pancakes calls for 3 cups of flour for every

2 tablespoons of sugar. Fill in the chart to find how many cups of flour are needed for 8 tablespoons of sugar.

Tablespoons of Sugar Cups of Flour

2 3

4

6

8

4. Find 8 × 52 using an area model.

50 2

8

×

×

8 × 52 = (8 × ) + (8 × )

= +

=

5. Shade the box in front of the statements that are true.

3.240 > 3.24

2 and 34 hundredths = 2.34

2 + 3 __ 10

= 2.3

536 hundredths = 53.6

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0017-0018_SBAC_CA_A_BLM_5_CD_Wk18_312917.indd 180017-0018_SBAC_CA_A_BLM_5_CD_Wk18_312917.indd 18 10/29/14 9:00 PM10/29/14 9:00 PM

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1. ABC Pens sells pens in boxes of 12. Their competitor XYZ Pens sells pens in boxes of 144. An office building is considering purchasing either 103 boxes from ABC Pens or 102 boxes from XYZ Pens.

Part A: How many pens are in 103 boxes of ABC Pens?

Part B: How many pens are in 102 boxes of XYZ Pens?

2. Circle the problems that have a correct solution.

254 × 12 3,048

412 × 24 9,788

316 × 29 9,164

581 × 32 18,592

POWER UP FOR PARCC On the actual test, you might be asked to click on the problem to put a circle around it. In this book, you will be asked to make the circles with a pencil instead.

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use.3. The table below lists the number of students in each grade level

of an elementary school. Estimate how many students are in the school by rounding. Show how you estimated.

Grade Level Number of Students

Kindergarten 315

First Grade 378

Second Grade 412

Third Grade 351

Fourth Grade 401

Fifth Grade 345

4. A penny is 1.52 mm thick. Write this number in expanded form.

5. The land area of Arizona is (1 × 100,000) + (1 × 10,000) + (3 × 1,000) + (9 × 100) + (9 × 10) + (8 × 1) square miles.

Part A: Write the correct digits in the boxes in order to put the number into standard form.

,

Part B: Write the area of Arizona in words.

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NAME DATE


1. For the numbers 6, 7, and 42, circle the equations that are members of the fact family.

6 × 7 = 42 42 ÷ 7 = 6

7 + 6 = 13 7 × 6 = 42

7 × 42 = 6 42 ÷ 6 = 7

2. A candy company puts 200 pieces of candy inside the bag. In the month of July, the company sold 8,000,000 pieces of candy. Determine whether each statement will find the number of bags of candy the company sold in July.

Yes No

8,000,000 ÷ 200

800,000 ÷ 200

8,000,000 ÷ 20

800,000 ÷ 20

80,000 ÷ 2

3. The table shows the amount that a painter charges for painting rooms. If your house has four bedrooms, two bathrooms, and three other rooms, how much will it cost to have the entire house painted?

Type of Room Cost

Bedroom $100

Bathroom $50

Other Rooms $120

POWER UP FOR PARCC On the actual test, you might be asked to click on a box to shade it. In this book, you will be asked to shade the box with a pencil instead.

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0021-0022_SBAC_NL_A_BLM_5_CD_Wk16_134791.indd 210021-0022_SBAC_NL_A_BLM_5_CD_Wk16_134791.indd 21 11/12/14 12:00 PM11/12/14 12:00 PM

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use.4. A roller coaster can take 24 riders in a single trip. 72 people went

through the line to ride the roller coaster.

Part A: How many trips did the roller coaster make?

Part B: Write the multiplication and division fact family for this.

5. Part A: A school building has 67 classrooms in it. Four students have volunteered to clean the classrooms over summer break. Fill in the boxes to find how many rooms each student should clean.

Each student should clean rooms.

Part B: The building principal has offered to clean the left over rooms. How many rooms will she clean?

R 4)

________ 6 7

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1. Part A: Eggs are sold by the dozen. If a chicken farm has produced 2,386 eggs, color in the box next to any expression that will estimate how many dozens can be packaged.

2,000 ÷ 12

2,400 ÷ 12

3,000 ÷ 12

2,300 ÷ 12

Part B: Estimate the number of dozens that can be packaged.

2. Jerry and his two friends are going to bake cookies for a fundraiser. They need to bake 369 cookies in all. Use a model to find the number of cookies each person needs to bake.

Each person bakes ________ cookies. POWER UP FOR PARCC On the actual test, you might be asked drag and drop groups of hundreds, tens, and ones to make the model. In this book, you will be asked to make the model by drawing instead.

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use.3. Use the Distributive Property to draw a bar diagram and solve the

problem.

936 ÷ 3 = ________

4. Chairs for a dining room set cost $78 each. Circle the equation that can be used to best estimate the cost of buying chairs for a family of 6.

$70 × 6 = $420

$80 × 6 = $480

$100 × 6 = $600

$50 × 6 = $300

5. Part A: Draw the decimal points on each number on the left side of the equation so that the difference is correct as shown.

1 2 3 4 - 6 2 4 = 117.16Part B: Check to make sure that the answer is reasonable by rounding.

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NAME DATE


1. There are 653 rubber bands in a desk drawer. The teacher wants to split them as evenly as possible among 63 students. Circle the equation that is the least accurate estimate for the number of rubber bands each student should receive.

660 ÷ 66 = 10

650 ÷ 65 = 10

650 ÷ 50 = 13

480 ÷ 60 = 8

2. Ms. Chen wants to purchase sets of Christmas lights to decorate her house. The lights cost $13 per package. She has saved $360 for the project.

Part A: How many packages of lights can she buy with $360?

Part B: What is the remainder, and what does it represent?

Part C: Round to estimate the answer so you can check for reasonableness.

POWER UP FOR PARCC On the actual test, you might be asked click to draw a circle. In this book, you will be asked to draw the circle using a pencil.

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use.3. A farmer has a rectangular field to plow. The field has an area

of 18,963 square yards. The field is shown below. Fill in the missing length.

147 yd

yd

4. Rayshawn is applying mulch along the fence in his backyard. For every 3 feet of length along the fence, he needs 2 bags of mulch. The fence is 126 feet long, and he has already finished 18 feet. How many more bags of mulch does he need?

Part A: Number each of the following steps to indicate the order in which they need to be completed to solve this problem.

Divide by 3 to figure our how many more 3-foot segments there are.

Subtract 18 from 126 to find out how many more feet need landscaped.

Multiply by 2 to find the number of bags needed.

Part B: How many more bags of mulch are needed?

5. Samuel went to the movies and purchased a ticket, a bag of popcorn, and a soda. He gave the cashier $20.00 and received $2.56 back in change. Fill in the cost of the popcorn in the table.

Item Price

Ticket $9.50

Popcorn

Soda $2.62

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Program: SBAC Component: Ancillary First Pass



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NAME DATE


1. Adrianna is making a photo collage for her parents’ 20th anniversary party. Each poster board can fit 13 pictures, and she has 167 pictures.

Part A: How many poster boards can Adrianna fill?

Part B: What is the remainder, and what does it represent?

2. Ahmal is trying to estimate how many boxes he will need to store his miniature car collection in. He has 538 cars, and 27 cars will fit nicely into the boxes he wants to buy.

Part A: Use the numbers below to choose the best pair that will estimate the number of boxes Ahmal needs, and write them in the blank spaces.

500 540 530 600 27 30 20

Part B: Estimate the number of boxes Ahmal will need.

POWER UP FOR PARCC On the actual test, you might be asked to drag and drop the numbers into the boxes. In this book, you will be asked to write the numbers using a pencil instead.

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use.3. A construction company is looking at a rectangular piece of

property on which to build an office building. The area of the property is 20,514 square yards. One side length is 78 yards. Draw the field and label the side lengths.

4. Compare 8 __ 10

and 8 ___ 100

.

Part A: Shade the decimal to match each fraction.

Part B: Fill in <, >, or =.

8 __ 10

8 __ 100

5. Complete the powers of 10 pattern in the top row of the table below. Then complete the pattern created in the bottom row by writing the corresponding power of 10 with an exponent.

6,100 610,000 6,100,000

61 × 101 61 × 102 61 × 103

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NAME DATE


1. Nick researched the weights of male and female lions. The chart shows his findings. Use rounding to estimate the difference in weight between a male and a female lion.

Male Female

410.89 lbs 306.21 lbs

2. A coach has timed a swimmer who completed two laps in the pool. The time for the swimmer's first lap was 57.12 seconds. The time for the swimmer's second lap was 61.8 seconds.

Part A: Shade the box under all correct ways of finding the swimmer’s total time for both laps.

57.12 57.12 57.12+ 61.8 + 61.80 + 61.8

Part B: Find the total time the swimmer took to swim both laps.

3. Antonio makes $13 for mowing his neighbors' lawns. He is saving up for a telescope that costs $49. Complete the table to help find out how many lawns Antonio will need to mow in order to make enough money to pay for the telescope.

1 Lawn

2 Lawns

3 Lawns

4 Lawns

5 Lawns

Lawns

POWER UP FOR PARCC On the actual test, you might be asked click in order to shade the boxes. In this book, you will be asked to shade the boxes using a pencil instead.

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use.4. The chart shows the total number of brownies sold at a bake sale

on three different days. Place each of the numbers from the table in the blanks in a way that makes the addition problem the easiest. Explain your reasoning, and find the total.

Day Brownies Sold

Monday 12

Tuesday 19

Wednesday 8

( + ) +

5. Jameson is trying to round 99.9999 to the nearest tenth.

Part A: Jameson asks three friends for the answer and gets three different responses. Circle the correct answer.

100.0

99.0

99.9

Part B: Alana did the same problem but accidentally rounded to the nearest hundredth. She says she got the same answer. Is that possible? Explain.

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NAME DATE


1. Write a real-world math problem that can be solved using the base ten blocks below.

Hundreds OnesTens

2. Joshua is trying to subtract 8 – 4.13. He sets up the problem like this.

8 - 4.13

Part A: What is wrong with Joshua’s setup?

Part B: What is the answer to Joshua’s problem?

POWER UP FOR PARCC On the actual test, you might be asked drag the blocks out of the groups. In this book, we will show you that blocks are being removed by using arrows.

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use.3. Look at the solution for doing 47 + 56 mentally. Select from the

following properties to fill in the reasons for each step.

47 + 56 = 47 + (56 + 3)

= 47 + (3 + 56)

= (47 + 3) + 56

= 50 + 56

= 106

4. Janelle is asked to divide a number by 4. For each number in the Remainder column, determine whether the number is a possible remainder when dividing by 4. Shade either Yes or No. For any number that you marked as Yes, give an example of a division problem that has that number as a remainder when dividing by 4.

Remainder Yes No Example

0

1

2

3

4

5

5. Circle the mistake in the prime factorization tree for 48.

48

14

2 7

4

2 2

Commutative Property Associative Property Addition

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0031-0032_SBAC_CA_A_BLM_5_CD_Wk11_131291.indd 320031-0032_SBAC_CA_A_BLM_5_CD_Wk11_131291.indd 32 11/21/14 10:32 AM11/21/14 10:32 AM

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1. An amusement park costs $47.50 admission for a day. A family of five wants to go to the park. Use the following set of numbers to fill in boxes that will help estimate the total cost for the family.

$40 $30 $50

5 1 10

$150 $250 $350

2. Shade the models below to calculate 0.8 × 2.

0.8 × 2

× =POWER UP FOR PARCC On the actual test, you might be asked drag the numbers into the boxes. In this book, you will instead write the numbers using a pencil.

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use.3. Javier sold 9 bags of cookies at $2.25 per bag. Molly sold 5 pieces

of pie at $4.15 per piece.

Part A: How much did Javier earn?

Part B: How much did Molly earn?

Part C: Who earned more?

4. Jeremy bought a new computer. The length and width of the screen are shown. What is the area of the screen?

5. A local grocery stand sold $12,456.98 on a Friday. There were 289 customers. Circle the expression that would provide the best estimate for the average amount spent by a customer.

$13,000 ÷ 300

$12,000 ÷ 300

$10,000 ÷ 300

$12,000 ÷ 200

12.1 in

8.2 in

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NAME DATE


1. Mr. Jackson took his new car on a family vacation. He drove the car 1,454.625 miles and used 4.5 tanks of gas. How many miles does he get on a single tank of gas?

2. Sort the following multiplication problems into those that have answers that are greater than 1 and those that have answers that are less than 1.

0.89 × 10 0.012 × 10 0.034 × 102 1.29 × 103

Greater than 1 Less than 1

3. Max measured the length of a bug in science class to be 47.61 mm. Write this number in expanded form.

POWER UP FOR PARCC On the actual test, you might be asked drag the numbers into the groups. In this book, you will instead write the numbers using a pencil.

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use.4. Jonathan is trying to calculate (6.28 × 50) × 2 without a

calculator.

Part A: Reorganize the numbers to make the calculation easier.

× ( × )

Part B: What property did you use to reorganize the numbers?

Part C: What is the answer to Jonathan’s question?

5. Roland is trying to calculate 4.51 + 12.78.

Part A: Explain what Roland is doing wrong in his setup?

12.57 + 4.51 5.767

Part B: Find the correct solution to Roland’s problem.

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1. The bar diagram below can be represented with several expressions. However, not all of the ones below are correct. Circle any that are not correct, and evaluate each expression.

6 6 7 7 7 6

6 + 6 + 7 + 7 + 7 + 6 6 × 3 + 7 × 3

3 × (6 + 7) 3 × (6 + 7) × 3

2. Benjamin wants to find the area of a trapezoid-shaped garden. His teacher told him that the area can be found by first adding the lengths of the top and the bottom, then multiplying the sum by the height, and finally dividing the product by 2.

Part A: Shade in the box next to any expression that will find the area of the garden.

(5 + 9) × 8 ÷ 2 [(5 + 9) × 8] ÷ 2

5 + 9 × 8 ÷ 2 5 + 9 × (8 ÷ 2)

Part B: Evaluate the expression to find the area.

height = 8 ft

5 ft

9 ft

POWER UP FOR PARCC On the actual test, you might be asked shade the boxes by clicking on them. In this book, you will shade the boxes using a pencil instead.

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use.3. Both Andrea and Eileen are preparing to run a marathon, a 26.2 mile

race. Each of the women begins her training by running 2 miles per day. Andrea says that she will double the amount that she runs per day with each passing week. Eileen says that she will add 5 miles to her daily run with each passing week. Use the two charts to determine who will be running more than 26.2 miles per day first.

Andrea Eileen

Week Miles Per Day Week Miles Per Day

1 1

2 2

3 3

4 4

5 5

6 6

4. A farmer is constructing a small fenced in area that can be describe with the ordered pairs (2, 3), (2, 8), (6, 3), and (6, 8). The units for both x and y are feet. Use the graph to find the amount of fencing he will need.

5. A factory that produces piano keys churned out 545,952 keys in 12 months. A piano requires 88 keys. How many pianos can be produced using the keys from the first 3 months?

y

1O

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1011

2 3 4 5 6 7 8 9 10 11 12 13 x

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1. Anya needs 7 cans of paint to put on three coats in her new living room.

Part A: How many cans of paint will it take to paint a single coat?

Part B: Place a point on the number line that represents the number.

5 6 7 81 2 3 4

2. 16 fiction books and 20 nonfiction books are to be put in giveaway bags. The number of fiction books in each bag will be the same as the number of nonfiction books in the bag.

Part A: What is the greatest number of bags that can be made?

Part B: Jillian says that if the number of fiction books goes up to 18, then the number of bags that can be made will also go up. Is she correct? Why or why not?

POWER UP FOR PARCC On the actual test, you might be asked drag the fraction onto the number line. In this book, you will draw the point using a pencil instead.

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use.3. Mr. McDonald gave his math class the following problem.

18 pizzas need split among 12 families.

How many pizzas does each family get?

Different people in the class gave different answers. Circle the answers that are correct.

18 __ 12

9 __ 6 1 __

2 3 __

2 9 __

4 1 1 __

2 1 3 __

6 1 1 __

3

4. A local post office sells stamps in packs of 4, 6, and 7. Andy bought several packs of 4. Erin bought several packs of 6. Jarryn bought several packs of 7. Each of the three friends ended up with the same number of stamps. What is the smallest number of stamps that each person could have purchased?

5. Manuel has 13 granola bars to split among 5 people.

Part A: Express the number of granola bars that each person receives as a quotient and remainder. Interpret the result.

Part B: Express the number of granola bars that each person receives as a mixed number. Interpret the results.

5.NF.5b

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NAME DATE


1. The table shows Frances’ quiz scores for the past grading period.

Part A: Fill in the fraction that Frances got correct for each quiz.

Number Incorrect

Number Correct

Fraction Correct

2 6 6 __ 8

2 3

3 7

2 5

4 9

Part B: Frances’ teacher has agreed to drop the worst test score for the grading period. Put her scores in order from least to greatest, and circle the score that can be dropped.

2. Compare each pair of numbers by using <, >, or =.

14 ___ 20

0.65 6 ___ 25

0.24 1 ___ 50

0.2

POWER UP FOR PARCC On the actual test, you might be asked to drag the numbers into their order. In this book, you will write the number using a pencil.

5.NF.5b

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use.3. Ian and Zion are trying to write 10 __

25 as a decimal. Ian says that they

should multiply the top and bottom by 4 and then convert to decimal form. Zion says that they should divide the top and bottom by 5, then multiply the top and bottom by 20, and then convert to decimal form. Who is correct? Show the work for each method and give the decimal answer.

4. A runner wants to run 1,000 miles in one year. If he runs the same amount every day, use compatible numbers to estimate the number of miles he should run every day. Show your work.

5. Jameson wants to construct a ladder that has 8 rungs. Each rung is 3.2 feet wide. The two sides measure 10.6 feet each. The wood is sold for $2.25 per linear foot. Find how much the wood to construct this ladder will cost Jameson.

5.NF.5b

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NAME DATE


1. Kalim, Henry, and Joseph agreed to split the lawn mowing for the weekend. Kalim mowed 5 __

12 of the

lawn. Henry mowed 5 __ 12

of the lawn. Joseph mowed the rest. Fill in the chart with the fraction of the lawn that Joseph mowed, and put the fraction in lowest terms.

Kalim 5 __ 12

Henry 5 __ 12

Joseph

2. Circle the expression that is not equal to the others.

2 __ 12

+ 1 __ 6 2 __

12 + 1 __

2 + 1 __

3 1 __

6 + 1 __

6 2 __

12 + 1 __

12 + 1 __

12

3. Theo opened a bag of marbles. 2 __ 15

of the marbles were red. 3 __ 5 of the

marbles were blue.

Part A: What fraction of the marbles was red or blue?

Part B: What fraction of the marbles was neither red nor blue?

POWER UP FOR PARCC On the actual test, you might be asked to click into the table cell to type the answer. In this book, you will write the answer by using a pencil.5.NF.2

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use.4. Victor claims that if two fractions are in lowest terms, then their

sum will be in lowest terms as long as he uses the least common denominator. Drake is sure that he can find two fractions in lowest terms whose sum is not in lowest terms even if he uses the least common denominator.

Part A: Shade in the boxes next to the facts that Drake can use to prove Victor wrong.

2 __ 3 + 1 __

2

1 __ 4 + 1 __

12

3 __ 8 + 1 __

4

1 __ 18

+ 1 __ 3

Part B: For each box you shaded, add the fractions together using the least common denominator to show that the sum is not in lowest terms.

5. A company has purchased a large “L” shape plot of land on which to build a new factory. The coordinates of the “L” are (0, 0), (0,9), (4,9), (4,5), (10,5), and (10,0). The units are miles. Plot the “L” shape on the plane, and find the perimeter of the shape.

y

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2 3 4 5 6 7 8 9 10 11 12 13 x

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NAME DATE


1. Sydney planted 5 __ 9 of her fall flowers. She had 63 unplanted

flowers to start.

Part A: How many flowers does she have left to plant?

Part B: How many more flowers would she need to plant in order to have planted 2 __

3 of her flowers?

2. Place each of the following expressions into the two categories of “whole number” and “not a whole number” based on whether or not the product is a whole number.

2 __ 3 × 7 4 __

5 × 15 6 __

7 × 21

3 __ 4 × 35 7 __

11 × 100 9 __

13 × 26

Whole Number Not a Whole Number

POWER UP FOR PARCC On the actual test, you might be asked to drag each answer into a bin for each category. In this book, you will write the answer by using a pencil instead.

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use.3. Winston has 1 __

4 of a pound of chocolate to split equally among

4 friends.

Part A: How many pounds will each friend get?

Part B: How many pounds will two of the friends get together? Write your answer in reduced terms.

4. A playground is to be constructed in the shape of the rectangle shown.

Circle the correct expression for finding the area of the playground. Then find the area.

3 __ 5 + 5 __

7 3 __

5 - 5 __

7 3 __

5 × 5 __

7 3 __

5 ÷ 5 __

7

Area = _______ square miles

5. Ms. Trenton measured the rainfall for five consecutive days. Place the days in order from least to greatest amount of rainfall.

Monday 1.01 inches

Tuesday 1.001 inches

Wednesday 1.101 inches

Thursday 1.10 inches

Friday 1.11 inches

5 __ 7 km

3 __ 5 km

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NAME DATE


1. Two teams of scientists measured the length of a cactus needles for a study on desert plant growth. The first team measured the length to the nearest quarter inch and reported a length of

5 3 __ 4 inches. The second team measured the length to the nearest

eighth inch and reported a length of 5 7 __ 8 inches. Shade the box

under “Yes” or “No” if the length given could be the actual length of the cactus needle.

Yes No

5.876 inches

5.875 inches

5.741 inches

5.783 inches

2. In nautical uses, a fathom is a length of measure that is equivalent to 6 feet. Fill in the following conversion chart for fathoms.

fathoms = mile

fathom = yards

fathom = inches

POWER UP FOR PARCC On the actual test, you might be asked to shade the boxes by clicking on them. In this book, you will instead shade the boxes by using a pencil.

1

1

1

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use.3. Jayne, Carlos, June, and Pedro each measured their dogs’ weights,

but each used a different measurement. Place the four dogs in order from lightest to heaviest.

Jayne’s Dog 42 lbs

Carlos’ Dog 624 oz

June’s Dog 41 lbs, 7 oz

Pedro’s Dog 665 oz

4. A certain species of seaweed doubles in weight every week.

Part A: Fill in the table with the weight for each of the first four weeks. Write your answers as a combination of pounds and ounces.

Week 1 1 pound 5 ounces

Week 2

Week 3

Week 4

Part B: Julian claims that the weight for Week 4 can be written as 10.5 pounds. Is he correct?

5. Bernardo times his drive to and from work. The drive in to work on Monday took 47.23 minutes. The drive home took 56.2 minutes. Circle any correct way of setting up the total time Bernardo spent in the car, and find the answer.

47.23 47.23 47.23 Total = minutes

+ 56.2 + 56.20 + 56.2

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NAME DATE


1. Fill in <, >, or = to make each of the following statements true.

16 cups 8 pints

19 quarts 5 gallons

81 cups 20 quarts

95 cups 6 gallons

2. Joy started with 2.75 gallons of milk. She used 1.5 pints to make mashed potatoes and another cup to make cookies. How much milks does Joy have left? Give your answers three different ways.

cups

pints

gallons

3. There are approximately 3.1 miles in 5 kilometers. Thaddeus is supposed to ride his bike for 20 kilometers for a charity ride.

Part A: How many meters is this ride?

Part B: How many miles is this ride?

POWER UP FOR PARCC On the actual test, you might be asked to drag each symbol into its circle. In this book, you will write the symbol by using a pencil instead.

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use.4. Place each of the following expressions into the two categories of

“Greater than 1” and “Less than 1” based on the value of the product.

2 __ 7 × 4 3 __

19 × 5 12 __

33 × 3

10 __ 21

× 2 33 ___ 100

× 3 16 __ 75

× 5

Greater than 1 Less than 1

5. The table below lists the number of pumpkins sold at a pumpkin farm during the course of one week. Estimate how many pumpkins were sold in total for the week. Show how you estimated.

DayNumber of Pumpkins

Monday 212

Tuesday 198

Wednesday 276

Thursday 181

Friday 303

Saturday 315

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NAME DATE

SCORECountdown: 1 Week

1. One of the figures is an obtuse isosceles triangle. Circle the obtuse isosceles triangle.

2. An architect is asked to describe the shape of a floor plan for a kitchen, which is shown below.

Part A: Write all of the accurate names for the shape of the room in the given space.

Parallelogram Rectangle Rhombus Quadrilateral Trapezoid Square

Part B: Which name is the most appropriate for the shape of the room?

POWER UP FOR PARCC On the actual test, you might be asked to drag the names onto the line. In this book, you will write the names by using a pencil instead.

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Grade 5 • Countdown 1 Week 51




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use.3. Shane pitches a tent for his weekend camping trip.

Part A: Circle any of the following shapes that are faces of the tent.

Triangle Rectangle Pentagon Square Hexagon

Part B: What is an appropriate name for the shape of the tent?

4. Uma is building the following bookshelf. What is the volume of the bookshelf?

5. A law firm hires the same number of lawyers every year. At the end of 12 years, the firm has hired 48 lawyers. How many lawyers has the firm hired in the last 5 years?

V =

1.2 m

2.3 m

1.6 m

3.1 m

0.4 m

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52 Grade 5 • Countdown 1 Week



0051-0052_SBAC_CA_A_BLM_5_CD_Wk01_131291.indd 520051-0052_SBAC_CA_A_BLM_5_CD_Wk01_131291.indd 52 21/11/14 8:18 AM21/11/14 8:18 AM

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NAME DATE

SCOREChapter 1 Test

1. A smart phone company sold 17,468,164 smart phones last year.

Part A: Fill in the place value chart for the number of smart phones sold by the company.

ThousandsMillions Ones

60,000400,000

7,000,00010,000,000

8,000 60100 4

hundreds hundreds onestenshundreds onestensonestens

Part B: Write the number in words.

Part C: Write the expanded form of the number.

2. Alejandro is asked by his teacher to write the smallest five-digit number he can using the digits 1, 3, 5, 7, and 9.

Part A: If Alejandro is only allowed to use each digit once, what is the smallest five-digit number he can write?

Part B: If Alejandro is allowed to use each digit more than once, what is the smallest five-digit number he can write?

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use.3. A student measures the length of a postage stamp to be

0.34 inches. He writes down the length as 34 _____ 1000

inches. What is this student’s mistake?

4. The table below shows the attendance at a college’s first four football games of the season. Put the numbers in order from least to greatest. Is attendance getting smaller or larger?

Date Attendance

September 28 92,112

September 21 90,912

September 14 88,001

September 7 87,314

5. Shade in the following pictures to show the fractions for 0.3 and 0.30. What can you say about these two numbers by looking at the pictures?

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6. Jada’s father sent her into the hardware store to find a bolt that is 0.625 inches long. Jada sees the following measurements for bolts. Circle the one is she supposed to buy.

625 _____ 1,000

625 ____ 100

625 _____ 10,000

7. The table below shows decimals and fractions. Fill in the table so that the left column has equals values as the right column.

0.234

0.0015

62

_____ 1,000

6 ____ 100

8. Paul is weighing a plant for a science project. The weight of the plant is 0.777 kg.

Part A: The value of the digit in the tenths place is how many times the value of the digit in the hundredths place?

Part B: The value of the digit in the hundredths place is how many times the value of the digit in the thousandths place?

Part C: The value of the digit in the tenths place is how many times the value of the digit in the thousandths place?

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use.9. A new player’s batting average for the year is 0.289. Write this

number out in expanded form.

10. Which of the following is not equal to the others? Circle the answer.

4.81

Four and eighty-one hundredths

4 × 1 + 8 × 1 ____ 100

+ 1 × 1 _____ 1,000

11. The following chart lists the height of six children from a family. Place the heights in order from greatest to least.

4.25 feet 3.51 feet 3.49 feet

4.2 feet 4.56 feet 3.15 feet

12. Sharon writes the weights of her marbles in order from least to greatest, but she makes a mistake. Circle the two numbers that must be switched so that all of the numbers are in the correct order.

1.022 g 1.02 g 1.2 g 1.202 g 1.22 g

13. Mrs. Shen had some eggs in her refrigerator. She bought a pack of twelve eggs for baking. She used six of the eggs and now has nine left in her refrigerator. How many eggs did Mrs. Shen have in her refrigerator before she bought more?

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14. The Suarez family takes three days to drive to their vacation in North Carolina. The chart shows how many miles the family drove each day. If the family drove 31 less miles on Sunday than they did on Saturday and the total trip was 823 miles, fill in the missing values on the chart.

Day Miles

Friday

Saturday 251

Sunday

15. Janice went out to eat and bought a hamburger, a bag of chips, and a drink. The hamburger cost $2.57, and the chips cost $1.25. Janice gave the cashier $20.00 and received $14.39 in change. How much did the drink cost?

16. A student is struggling to understand the difference between 0.77 and 0.077.

Part A: Explain why 0.77 > 0.077

Part B: Put 0.77, 0.077, and 0.707 in order from least to greatest.

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use.17. Part A: Zoe says that “one hundred one thousand” is the same as

“one thousand one hundred.” Why is she incorrect?

Part B: Zoe also thinks that “one hundred one thousandths” is the same as “one hundred and one thousandths.” Why is she incorrect?

18. Mrs. Hodge has asked her class to use the digits 3, 9, 6, 6, 2, 1 to make a number that is in between 310,000 and 330,000. Four students came up with the following answers. Shade the box next to the answers that are correct.

319,626 316,269

321,669 328,169

19. Place a decimal point in the following number so that the number is between 34 and 35.

3 4 3 4 3

20. The local news station found out that 123,000 people moved out of the city last year. Shade the box next to the correct way the news reporter should read this number during her report.

One hundred twenty-three thousand

One hundred and twenty three thousand

One hundred twenty three thousandths

One hundred and twenty-three thousandths

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NAME DATE

SCOREChapter 2 Test

1. Jed is buying water bottles for his soccer team. Because all of the packages of water bottles cost about the same price, Jed decides to buy the package of water bottles that provides the greatest total ounces.

Part A: Complete the table below with the number of ounces per package.

Water Bottles in a Package 1 12 24 32

Total Ounces in a Package

Part B: Which package provides the greatest total ounces of water? Justify your response.

2. Teams of 4, 5, or 6 members are permitted in a competition. If the grand prize will be divided in whole dollar amounts, evenly among the members of the winning team, which of the grand prizes is possible for this competition?

Yes No

$120

$90

$48

$480

Water Bottle Packages

Water Bottles in a Package Ounces per bottle

1 128

12 12

24 8

32 6

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Grade 5 • Chapter 2 Multiply Whole Numbers 59




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use.3. Adrianna has 30 bills in her wallet. Some

are $1 bills, some are $10 bills, and some are $100 bills. Which of the possible combination of bills in Andrea’s wallet has the greatest value? Explain how you solved the problem.

4. The table shows the ticket cost of certain prizes at a fair.

Which combination of prizes can you buy if you earned 432 tickets?

Prize Combinations Yes No

7 Noise Makers

3 Stuffed Animals, 2 Pencils

6 Sticky Hands, 15 Pencils

2 Stuffed Animal, 4 Sticky Hands

5. Over the period of one month 159 dogs visited the dog park. Suppose the same number of dogs visited each month for 1 year. How is this total different from the year before when 95 dogs visited the dog park every 3 months for the year? Show your work.

Possible Bill Combinations

$1 Bills $10 Bills $100 Bills

15 15 0

12 17 1

28 0 2

4 26 0

Prizes Tickets Needed

Stuffed Animals 125

Noise Maker 64

Sticky Hand 38

Pencil 15

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60 Grade 5 • Chapter 2 Multiply Whole Numbers




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6. Part A: Complete the powers of 10 pattern in the top row of the table below. Then complete the pattern created in the bottom row by writing the corresponding power of 10 with an exponent.

780 780,000 7,800,000

78 × 102 78 × 103

Part B: Analyze each pattern. Explain the relationship between the top row pattern and the bottom row pattern. What does this pattern mean when considering the numbers above?

7. The following clues are given about a pail of marbles.

1. There are between 700 and 800 marbles in the pail.

2. The marbles were purchased in 8 equally-sized bags.

3. The product of all the digits is 70.

How many marbles are in the pail? Explain how you figured it out.

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use.8. A class will purchase 24 tickets to a play. Each ticket costs $78.

Use an area model to find the total cost for the tickets.

Part A: Write an equation to represent the use of partial products to complete each part of the area model.

4

Part B: What is the total cost of the tickets?

9. To the right is an example of Jordan’s work on a recent test.

Part A: Identify Jordan’s error.

Part B: Explain how if Jordan estimated the product he would have seen that his answer was not reasonable?

10. A scientist is labeling insects for his collection. He knows the approximate weights of different amounts of each insect. Use the table to complete the weights shown.

10,000 Ants _________________ grams

100 Centipedes _________________ grams

100 Spiders _________________ grams

1000 Honey bees _________________ grams

Weights

1000 Ants 4 grams

1000 Centipedes 140 grams

1 Spider 1 gram

100 Honey bees 1 gram

70 8

1 6

1 1 7× 1 9 1053+ 1 1 7

1 170

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11. A company makes straws. The table shows the number of straws that are packaged in their different-sized boxes each hour.

Part A: Complete the table.

Part B: How would you write the first column of numbers as repeated multiplication expressions?

12. The stairway shown is made by putting 10 cement blocks together. If each cement block costs $23, how much would 10 complete stairways cost? Explain.

13. A physician recorded a person’s resting heart rate to be 87 beats per minute. Complete the table to estimate the total number of times the person’s heart would beat for each interval shown.

Number of Minutes 1 10 100 1000

Number of Heartbeats

14. The product of 54 and another number is 8720. Complete the following table to help you estimate the other number.

Number of Straws in Each Box

Number of Boxes

Total Straws

102 9,500

102 55

185 1,850,000

103 115

Multiplication Product

54 × 10 540

54 × 100 5400

54 × 150 8100

54 × 175 9450

54 × 1000 54000

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use.15. Rent costs $478 each month. Complete the partial product

diagram for how much rent costs over a year.

400 70 8

2

16. Skateboarders count rotations in half-turns of 180 degrees.

Part A: If the rotation record is 4 half-turns, how many total degrees is the record?

Part B: If Sean performed the rotation record 4 times, how many total degrees did he turn?

Part C: Explain how Sean’s performance compares to a single half-turn.

17. A kilogram is 103 grams.

Part A: Write 103 grams in expanded notation.

Part B: Suppose a package weighs 2 kilograms. How many grams is it? Explain.

Part A:

Part B:

Part C:

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NAME DATE

SCOREChapter 3 Test

1. Circle the fact that does not belong to the multiplication fact family.

3 × 9 = 27 27 ÷ 3 = 9

3 × 3 = 9 27 ÷ 9 = 3

2. A group of 36 cans of juice is divided among four children.

Part A: If each child receives c cans, write an equation to find the unknown.

Part B: Find the unknown value c.

3. Write and solve a division problem that is modeled by the picture.

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Grade 5 • Chapter 3 Divide by a One-Digit Divisor 65




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use.4. Bradford is taking down bulbs from a holiday decoration.

The bulbs are put into boxes that can hold 6. He has 81 bulbs. What is the remainder? What is the meaning of the remainder?

5. Circle the mistake in the division problem.

6. Daiki is trying to sell 40 cupcakes that she made for a bake sale. He would like to sell them in boxes of 6. How many are left over that will need to be sold individually?

7. Part A: Fill in the chart with solutions to the division problems.

9,000 ÷ 3 9,000 ÷ 30 9,000 ÷ 300 9,000 ÷ 3,000

Part B: Describe the pattern.

4) ________ 92

-8 22 -20 2

25R2

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66 Grade 5 • Chapter 3 Divide by a One-Digit Divisor




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8. Malik says that 16,000 ÷ 4,000 is the same as 160 ÷ 40. Is Malik correct? Explain.

9. Three friends decided to open a household chore business. They mow lawns, babysit, walk dogs, and clean windows. The chart shows how much money the business made in the first month. If the earnings are split equally among the friends, how much will each person receive?

10. Madison and her friend Gabriel are both trying to estimate 182 ÷ 91. They both round to different place values.

Madison Gabriel

180 ÷ 90 200 ÷ 100

Explain each student’s thinking. What are their estimates? Are both correct?

Mowing Lawns $67

Babysitting $82

Walking Dogs $17

Cleaning Windows $26

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use.11. Use base ten blocks to model and solve the division problem

246 ÷ 2.

12. A bookshelf has 5 shelves on it. There are 155 books that need put away.

Part A: Use the distributive property and the picture below to find how many books should be on each shelf.

5 100 50 5

Part B: Sonny did the problem with a different picture.

5 50 50 50 5

Is he correct? Explain.

246 ÷ 2 =

10 10 10 1

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13. There are 144 roses that need put onto 8 tables at a wedding reception. How many roses should be put on each table?

14. Nine friends want to go to an amusement park. The total bill for all nine tickets is $423.

Part A: How much is each ticket?

Part B: Estimate to check your answer.

15. Daksha was asked by her teacher to predict the number of digits in the following quotients without actually dividing. How can she do this?

Part A: 834 ÷ 7

Part B: 567 ÷ 6

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use.16. Describe the student’s error in the following division problem,

and do the problem correctly.

17. Lamar runs 8 miles a day. He wants to know how many miles he ran in a particular month. Is there too much information or not enough information to solve this problem? Shade the box next to the correct description. If there is too much information, name the extra information and solve the problem. If there is not enough information, describe what Lamar would need to know to solve the problem.

Too much information Not enough information

18. Part A: A table at a party seats 8 guests. There are 71 guests expected. Find the number of tables needed and interpret the remainder.

Part B: Christian is making birdhouses. Each birdhouse requires 10 screws. Christian has 81 screws. Find the number of birdhouses Christian can make and interpret the remainder.

3) ________ 627

-6 27 -27 0

29

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NAME DATE

SCOREChapter 4 Test

1. Circle any that would not be good ways of estimating 328 ÷ 32.

330 ÷ 30 = 11

400 ÷ 20 = 20

300 ÷ 30 = 10

300 ÷ 20 = 15

2. A scientist is studying fish population in an area of the ocean that measures 18,314 square miles. He wants to divide the area into 87 equal size portions to make the study more manageable. Estimate how large each area will be. Show your work.

3. A cab company is interested in how many vehicles it should station outside a particular hotel. This company has vans that hold 14 people. By looking at checkout patterns, the company determined that 160 people leave this hotel per day for the airport. Draw a model with base ten blocks to figure out how many vans the company should have ready in order to seat 160 guests.

vans

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use.4. Mrs. Canzales needs to buy gallons of paint to paint her new

house. Each can of paint cost $18. She has $310.

Part A: How many gallons of paint can she buy?

Part B: What is the remainder, and what does it mean?

Part C: Estimate to check your answer. Show your work.

5. Quentin is asked by his teacher to write a division problem with quotient of 23 and a remainder of 3. Quentin wrote the following problem: 347 ÷ 15.

Part A: Complete Quentin’s problem to show that it is not correct.

Part B: Help Quentin fix his problem by changing the 347 by a small amount.

6. A factory produces 12,376 granola bars in 52 minutes. How many granola bars does the factory produce per minute?

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7. A school recently received a donation for $7,072. The school has 17 different student organizations and wants to split the gift evenly. Miles has been asked to help figure out how much each organization should get. He starts the problem off like this:

317)

________ 7,072

- 5 1 1 9

At this point, Miles knows that the 3 is not correct because 19 is bigger than 17. He adjusts the 3 to a 2 and gets

217)

________ 7,072

- 3 4 3 6

Miles is now confused. What did he do wrong?

8. Carlos’ goal is to keep track of the total amount that he has run. After 16 months, his total is 2,400 miles. His coach, however, wants to know how much he ran in the past year. If Carlos ran the same amount every month, find his total distance for the past year.

9. Part A: Fill in the following table with quotients and remainders.

Division Problem Quotient Remainder

6245 ÷ 12

6246 ÷ 12

6247 ÷ 12

Part B: What pattern do you notice?

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use.10. The college marching band raised $15,708 to help pay for a trip to

a national parade. There are 132 students in the band. How much will each student receive in order to help pay for his or her airfare? Will there be any left over?

11. An art gallery purchases the same amount of prints per year to sell in its gift shop. In the last 7 years, the gallery has purchased a total of 882 prints. How many did the gallery purchase in its first 3 years?

12. A swimming pool is being designed that is 22 feet wide and 42 feet long. The shallow end will be 22 feet wide and 28 feet long. What will be the area of the deep end?

13. Tyron is asked to find the missing value h in the equation: 12,336 ÷ h = 16His friend Seamus says that he can rewrite this using another member of the same fact family and then solve the problem.

Part A: Fill in the boxes to rewrite the equation using another member of the fact family.

÷ =

Part B: Find the missing value h.

h =

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14. A restaurant sells chicken in packs of 6 pieces. The restaurant orders a large bag of chicken and splits the pieces into packs of 6, but there are some pieces left over. Shade the boxes next to any number that is a possible remainder, then explain your reasoning.

0 3 6

1 4 7

2 5 8

15. ABC Electronics produces a circuit board that can be used in computers. ABC’s factory produced 18,270 boards last week. ABC supplies these boards to 90 different computer manufacturers and wants to give an equal amount to each manufacturer.

Part A: Fill in the division fact with compatible numbers to estimate how many boards each manufacturer should receive.

÷ = boards

Part B: Find the exact number of boards each manufacturer will receive.

Part C: Is your estimate greater than or less than the actual number? Explain how you could have known this ahead of time.

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use.16. 2,134 ÷ 8 has a remainder of 6. Circle all of the following facts

that also have remainders of 6.

2,126 ÷ 8 2,127 ÷ 8 2,128 ÷ 8

2,142 ÷ 8 2,143 ÷ 8 2,144 ÷ 8

17. Hyun usually runs races that are 10 kilometers long. His time for a 10 kilometer race is 50 minutes. There is a charity race this weekend that is 9 kilometers long. What should Hyun expect his time to be at the race this weekend?

18. There is a set of swings to split among 17 different playgrounds in a city. Each playground gets 4 swings, and there are 3 left over.

Part A: How many swings are there in all?

Part B: Write a division problem to model this situation.

19. Write always, sometimes, or never for each of the following statements.

The remainder is less than the divisor.

The quotient is greater than the remainder.

The divisor is equal to the dividend.

20. A charity has raised $14,569 for use in food banks around the country. There are 17 different food banks that will split the funds. How much money does each food bank receive?

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NAME DATE

SCOREChapter 5 Test

1. Write a number that rounds to 2.3 when rounded to the nearest hundredth and when rounded to the nearest tenth, but does not round to 2.3 when rounded to the nearest thousandth.

2. Garret’s teacher asked him to round the following number to the nearest tenth. Write Garret’s answer in both expanded form and standard form.

3 × 10 + 4 × 1 + 2 × 1 __ 10

+ 4 × 1 ___ 100

Expanded Form Standard Form

3. Maria claims that it does not matter whether she first rounds two numbers to the nearest hundredth and then adds them or whether she first adds the two numbers and then rounds to the nearest hundredth. Is she correct? Explain.

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use.4. Veronica is buying the following items from the grocery store.

Milk $2.60

Bread $1.80

Crackers $3.51

Cheese $6.78

Part A: Round each term to the nearest dollar to estimate the total bill.

Part B: Is the estimate greater than or less than the exact total? How do you know?

5. Ophelia and her father took a three-day bike trip. On the first day, they rode 27.5 miles. On the second day they rode 23.2 miles. The total for the trip was 65.7 miles. Ophelia wants to know about how long the ride was on the third day. Is this a question about an exact answer or an estimate? Answer Ophelia’s question.

6. Joaquin used base ten blocks to find 1.79 + 1.36. He is stuck. Describe what Joaquin must do next, then find the answer.

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78 Grade 5 • Chapter 5 Add and Subtract Decimals




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7. Look at the following model. Circle the expressions that could match the model.

1.27 + 1.4 2.52 + 0.15 1.6 + 1.7

1.66 + 1.1 1 + 1.67 1.07 + 1.60

8. Tax on two purchases was $0.36 and $0.87.

Part A: Shade the regrouping needed to find the sum of the two values.

Part B: What is the sum?

9. On a class trip to Washington D.C. the bus made four stops for gas and spent the following amounts. What was the total gas bill for the trip?

$123.57

$135.88

$132.19

$98.27

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use.10. Kiara bought two items from a music store. The first item was between

$8.00 and $9.00. The total of the items was $20.21. Write down two different possibilities for the cost of each item.

11. Shade the box under “Yes” or “No” to indicate whether each problem will require regrouping.

Yes No

3.61 + 0.71

41.23 + 21.32

33.51 + 33.5

4.09 + 12.5

12. Write the correct property of addition for each step.

9.9 + (3.6 + 4.1) + 0

= 9.9 + (4.1 + 3.6) + 0

= (9.9 + 4.1) + 3.6 + 0

= 14 + 3.6 + 0 Addition

= 17.6 + 0 Addition

= 17.6

13. Circle the problems that will require regrouping.

13.71 - 2.8 3.4 - 2.2 145.65 - 140.05

65.67 - 13.91 245.16 - 5.16 123.45 - 11.111

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14. The local college baseball stadium recorded the number of people in attendance at the first three games of the season.

Game 1 14,998 people



Part A: Write down the best order in which to add the numbers so that it is easiest to find the total using mental math.

Part B: Find the total attendance for the first three games.

15. Write and solve a word problem for the following place value chart.

Ones Tenths Hundredths

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use.16. A woodworker has purchased 92 linear meters of wood for framing. Each

frame takes 18.21 linear meters of wood to make. Fill in the following chart to determine how many frames the woodworker can make with 92 linear meters of wood and how much wood will be left over.

Frames Made Wood left over

1 92 - 18.21 = 73.79 meters

2

3

4

5

frames

meters left over

17. A baker needs to have 15.5 pounds of flour on hand for the weekend bread sale. He looks in the cupboard and finds a bag that has 4.6 pounds, a bag that has 6.1 pounds, and a bag that has 4.7 pounds. Does the baker have enough? If so, how much extra does he have? If not, how much more does he need?

18. Fill in the following missing digits so that the subtraction problem is accurate.

3 1 . 4 2

- 0 . 1 7

1 . 7 0 9

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NAME DATE PERIOD

SCOREChapter 6 Test

1. The number of people who bought admission to the community pool last Friday was 198. Admission was $4.95. Estimate the amount of money that the pool brought in.

2. Tamar walks 0.3 miles to school every day. Regroup and shade the models to figure out how far he walks in five days.

Monday Tuesday Wednesday Thursday Friday

miles

3. Sort each problem into the box that lists the correct number of decimal places in the answer.

34.15 × 12 4.67 × 11 4.56 × 12,345

0.45 × 23 4 × 2.5 45 × 123.4

0 Decimal Places

1 Decimal Place

2 Decimal Places

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Grade 5 • Chapter 6 Multiply and Divide Decimals 83




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use.4. Bihn is selling the following items at a garage sale.

Part A: How much will he make if he sells 5 CDs, one bike, 15 books, and 2 pairs of skates?

CDs $1.25

Bike $25.16

Books $0.76

Skates $9.12

Part B: Bihn intends to purchase a $65 video game with his earnings. How much more money does he need if he sells all of the items in Part A?

5. Mr. Olson is building a new doll house for his daughters. The base of the doll house will be 1.8 meters by 0.7 meters.

Part A: Shade the region of the base in the blocks below.

Part B: Rearrange the shading to help figure out the area of the base.

square meters

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84 Grade 5 • Chapter 6 Multiply and Divide Decimals




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6. A runner can run a mile in 6.27 minutes. If the runner maintains this pace, how many minutes will it take the runner to run 26.2 miles?

7. The amount of sugar in a serving of each of three brands of cookies is shown in the table. Which contains more grams of sugar: 1 serving of Brand A, 1.5 servings of Brand B, or 2 servings of Brand C?

Brand Grams of Sugar per Serving

A 33.13

B 22.6

C 15.6

8. Malik is tiling his kitchen floor. The kitchen measures 13.25 feet by 11.75 feet.

Part A: What is the area that needs tiled?

Part B: Tile comes in packs that will cover 10 square feet. How many packs will Malik need to buy?

9. Put the following numbers in order from least to greatest.

1.23 × 103 123.0 × 102 0.0123 × 104

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use.10. Yasmine reads 12 pages of her book the first day, 18 pages the

second day, 24 pages the third day, and so on. If the pattern continues, on what day will Jasmine finish her 264 page book?

11. Harris is asked by his teacher to multiply the following in his head.

(2.5 × 7) × (2 × 4) × 50

Part A: Rewrite the expression so that the multiplication is easier to do in your head.

( × ) × ( × ) ×

Part B: Find the answer.

12. Light bulbs come in a pack of 6 that costs $12.29. Estimate the price per light bulb.

13. Santiago was given the following diagram that is supposed to represent a decimal division problem. Write the problem, and find the answer.

÷ =

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14. Hot dogs are sold in packs of various sizes. Which of the three brands is the best buy?

Brand Number in Pack Price

A 8 $4.48

B 10 $5.56

C 12 $6.12

15. A jeweler purchased 1.8 feet of gold chain to make bracelets out of. If each bracelet requires 0.6 feet, draw a model to help find how many bracelets he can make.

bracelets

16. The area of a picture frame is 16.625 square feet. The length is 3.5 feet. Find the width.

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use.17. Daniel claims that a decimal divided by a decimal can never be

a whole number. Is he correct? If so, explain why. If not, give an example showing that he is wrong.

18. On Monday, a driver purchased 18 gallons of gas for $61.38.

Part A: What was the price of gas per gallon that day?

Part B: The next day, the price of gas was $3.29 per gallon. How much could the drive have saved had he waited until Tuesday to buy gas?


567 ÷ 1,000 5.67 ÷ 10

56.7 ÷ 10,000 56.7 ÷ 100

20. In July of 2014, Phoenix, Arizona had a record rainfall of 5.04 inches in 12 hours. On average, how many inches of rain fell per hour?

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NAME DATE PERIOD

SCOREChapter 7 Test

1. Gary watches cars go by his house. He counted 4 red cars, 3 blue cars, 4 yellow cars, 4 white cars, 3 black cars, and 4 green cars.

Part A: Write and evaluate an expression for the total number of cars Gary saw using only addition.

Part B: Write and evaluate an expression for the total number of cars Gary saw using both addition and multiplication.

2. A football is thrown up in the air. The height of the football after two seconds is 3 × 22 + 4 × 2 + 6. Find the height of the football.

3. Sammy’s teacher asked him to evaluate the expression 2 + 4 × 5. Sammy wrote down the answer of 30. What did Sammy do wrong? Give the correct answer.

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Grade 5 • Chapter 7 Expressions and Patterns 89




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use.4. Camilla and her three friends bought three tickets to the movie

theater at $8 each. They also bought a large popcorn for $10. They split the bill evenly. Write and evaluate an expression for the total amount that each friend spent.

5. Jared saved $125 over the course of the last month. His friend Hector saved twice the difference between Jared’s amount and $50. Circle which of the following expressions represents the amount that Hector saved in the last month.

2 × 125 - 50

(50 - 2) × 125

2 × (125 - 50)

2 × 50 - 125

6. The cost of admission to the county fair is $12. The cost of each ride at the fair is $2. John went to the fair and rode 14 rides.

Part A: Write an expression for how much John spent.

Part B: Evaluate the expression to find out how much John spent.

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90 Grade 5 • Chapter 7 Expressions and Patterns




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7. A pizza shop sells a single pizza for $11. However, at the end of the night, they will sell the extra pizzas for $6 each. If the pizza shop sold 51 pizzas before the discounted price and made $615, find the number of discounted pizzas they sold.

8. Joline decided to sell her china doll collection. She sold the dolls for $24 each. Joline sold 8 dolls to Sylvia, and then sold half of the remaining dolls to Jane. She made $288.

Part A: How many dolls did Joline have before she decided to sell her collection?

Part B: How many dolls does Joline have now?

9. In which pattern will the numbers go over 100 first? Write out the patterns to show your answer.

Pattern A: Start at 2 and multiply by 2.

Pattern B: Start at 55 and add 10.

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use.10. Look at the number of blocks in the following pattern.

Part A: Write down the pattern for the number of blocks in each stack.

Part B: Predict how many blocks will be in the next stack.

11. Circle the pattern that does not belong.

3, 9, 27, 81 5, 15, 45, 135

2, 5, 8, 11 2, 6, 18, 54

12. Mrs. Gerard saves $10 per week. Mr. Gerard saves $8 per week. Fill in the following table for the total amount in savings at the end of each week, and describe the pattern for the total savings.

Week Mrs. Gerard Mr. Gerard Total Savings

1 $10 $8

2 $20 $16

3

4

Pattern:

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13. A park ranger is taking a tour of the major sites in a national forest to check for safety violations. The map below shows the sites.

CampgroundsCanyon

Waterfall

Part A: If the ranger starts at the canyon, describe the path he can take first to the waterfall, and then to the campgrounds if he must follow the grid lines.

Part B: If the ranger wants to go directly from the canyon to the campgrounds, how many units shorter is that than going to the waterfall first? Again, the ranger must follow the grid lines.

14. Brock is trying to make a plan for building a table. He wants the top to be a rectangle. He has placed three of the corners on the coordinate plane below.

10

123456789

1011

2 3 4 5 6 7 8 9 10 11 12 13

x

y

What is the coordinate of the fourth corner?

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use.15. Jackie and Taylor decide to start exercise routines. Jackie does

5 situps on the first day and adds 2 each day. Taylor does 3 situps on the first day and adds three each day.

Part A: Find the number of situps that each girl does for the first four days, and graph them as ordered pairs.

Part B: On which day does each girl perform the same number of situps?

16. Mr. Zhao walks from the grocery store to his house in a straight line. The grocery store is at point (1,2). His house is at point (11,7). For the ordered pairs listed, circle all of the order pairs that Mr. Zhao passes through on his way home.

10

123456789

1011

2 3 4 5 6 7 8 9 10 11 12 13

x

y

(3, 3) (4, 5) (7, 5) (9, 6) (10, 7)

10

123456789

101112131415

2Day

Situps

3 4 5

x

y

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NAME DATE

SCOREChapter 8 Test

1. Mr. King used 16 gallons of gas in 5 days. Circle any of the following that describe the average amount of gas Mr. King used per day.

16 __ 5 5 __ 16

3 1 __ 5 5 1 __

3

2. A carpenter is framing 12 windows in a house. He used 51 feet of wood on the project. If the windows are all the same size, how many feet of wood were used in a single window? Write the answer in two different ways using fractions.

3. Consider the following five numbers.

12 15 36 18 8

Part A: What is the greatest common factor of all five numbers?

Part B: Cross out two of the five numbers so that the remaining numbers have a greatest common factor of 6.

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use.4. The table below shows the number of flowers that a florist has to put in

vases for a wedding display. Each vase will have only one color of flower, and the florist wants to make sure that each vase has the same number of flowers. If the florist puts all of the flowers in vases, what is the greatest number of flowers that could be in each vase?

Pink 18

Red 30

White 24

5. Deandre has made a table of his baseball card collection based on the year. Fill in the third column with the fraction of his total cards that year represents, and put the fractions in lowest terms.

Year Number of Cards

Fraction of Total Cards

2009 12

2010 18

2011 10

2012 20

6. Shade the box next to any fraction that is in simplest form.

8 __ 12 9 __ 12

10 __ 12 11 __ 12

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96 Grade 5 • Chapter 8 Fractions and Decimals




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7. Dai went shopping and received $1.55 in change in quarters and dimes. He told his friend Ginny that the change came in 11 coins and asked her to guess how many of each coin he had. Ginny guessed that there were 5 quarters and 3 dimes.

Part A: Is Ginny correct? Explain

Part B: If Ginny’s guess is not correct, find the correct answer.

8. Mrs. Franklin took her five children to an amusement park. The cost of tickets for the 2 younger children was $12.50 each. The cost of her ticket was $15.00. She spent a total of $80.50. What was the cost of each ticket for her three older children?

9. Isabelle buys gas every five days. If she buys gas today and today is a Saturday, how many more days will it be before she buys gas on a Saturday again?

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use.10. Mr. Sanchez goes to the movies every 18 days. His brother goes to the

movies every 30 days. If they were at the movies together this evening, how many more days will it be before they are at the movies together again?

11. Students from three different fifth grade math classes were asked to return permission slips for a field trip. The table shows what fraction of each class turned in their permissions slips on the first day. Number the classes in order from 1 to 3 starting with the class that had the smallest fraction of students turning in the slips.

Mrs. Haley’s class

5

__ 12

Mr. Black’s class

5

__ 11

Mrs. Mayne’s class

2

__ 5

12. The local football coach has always had a goal of winning 3 __ 4 of the

games in a season. The numbers below show the fraction of games won for the season. Circle those seasons below when the coach met his goal.

2011–2012 Season 2012–2013 Season 2013–2014 Season

8 __ 11

10 __ 13

10 __ 14

Mrs. Haley’s class

Mr. Black’s class

Mrs. Mayne’s class

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13. A baseball player got 7 hits in his last 25 at bats. Shade the model to help write the decimal that represents the fraction of at bats resulting in a hit.

14. Circle all of the numbers that could be modeled with the following block.

15. Match each fraction with its decimal equivalent.

13 ___ 25

0.25

2 __ 5 0.4

7 ___ 20

0.52

1 __ 4 0.35

16. Felipe built a model train that has a scale of 21 __ 25

. Write this number as a decimal.

50 ____ 100

10 ___ 20

17 ___ 35

0.5

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use.17. The table below shows the amount of rainfall that a town experience in

the last three months.

April 10 inches

May 9 inches

June 6 inches

Part A: What fraction of the total rainfall came in April? Put your answer in lowest terms.

Part B: What fraction of the total rainfall came in May? Write your answer as a decimal.

18. Jaylon is asked to find the greatest common factor of three numbers. He finds the greatest common factor of the first two numbers to be 1. Jaylon claims he knows the answer without any extra work. How does he know?

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NAME DATE PERIOD

SCOREChapter 9 Test

1. Frederick has been asked to sort five bags into three categories based on whether they are closest to “empty”, “half full”, or “full”. Each fraction represents how full the bag is. Write each of the fractions in the correct box.

2 __ 19

2 __ 5 2 __

7 6 __

11 10 __

12

2. The following chart shows how much it snowed in the first three hours of a snowstorm. Find the total snowfall in inches for the first three hours. Write your answer in lowest terms.

First Hour 1 __ 8 inch

Second Hour 3 __ 8 inch

Third Hour 2 __ 8 inch

3. Tamika bought red beans, pinto beans, and black beans. She

purchased 15 __ 16

pounds of beans in total. If Tamika bought 3 __ 16

pounds

of red beans and 5 __ 16

pounds of pinto beans, find the weight of

black beans she purchased. Write your answer in lowest terms.

About Empty About Half Full About Full

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use.4. Keisha bought 1 _

6 tank of gas in the morning on her way to work.

She added 3 __ 4 tank on her way home from work. Fill in the model

below to determine what fraction of a tank she bought

altogether.

tank

5. Feng was asked by his teacher to add 1 __ 5 and 3 __

10 . Feng got an

answer of 6 __ 5 .

Part A: Compare the two fractions to 1 __ 2 and show that Feng

cannot be correct.

Part B: What is the correct answer in lowest terms?

6. Circle which of the following does not belong, and describe why.

1 __ 3 + 1 __

2 ( 1 __

6 + 1 __

6 ) + 1 __

2 1 __

3 + ( 1 __

6 + 1 __

6 + 1 __

6 ) ( 1 __

2 + 1 __

2 + 1 __

2 ) + 1 __

2

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102 Grade 5 • Chapter 9 Add and Subtract Fractions




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7. Mrs. Prim had 3 __ 5 of a cup of flour. She used 1 __

2 cup on a dessert

recipe.

Part A: Fill in the model below to help find how much flour Mrs. Prim has left.

cup

Part B: Mrs. Prim needs another 1 __ 4 cup for a sauce recipe for the

dessert. Does she have enough flour left? Explain.

8. Luciano walked 7 __ 18

mile on Saturday morning. On Sunday, she

walked 5 __ 9 mile. How much more did she walk on Sunday than on

Saturday? Shade the box next to any correct answer.

3 __ 18

1 __ 6 2 __

12

9. Fill in the box to make a true number sentence.

11 __ 12

- __ 3 = 1 __

4

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use.10. A field goal kicker practices by moving back the same number of

yards every time he kicks. On the third kick he is 40 yards away from the goal posts. On the sixth kick he is 49 yards away. Fill in the following chart and work backwards to figure out how far away the kicker was on the first kick. Circle the answer.

Kick #1

Kick #2

Kick #3 40 yards

Kick #4

Kick #5

Kick #6 49 yards

11. Mia has three colors of fabric: red, blue, and purple. She has 3 7 __ 8

yards of red fabric and 10 2 __ 15

yards of blue fabric. If she has 19 11 __ 13

yards of fabric al together, about how much purple fabric does she have? Show how she estimated.

12. Write and solve a problem involving addition and mixed numbers. Put all mixed numbers in lowest terms.

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13. Jasmine is making a fruit smoothie that requires the following amounts of certain juices.

Apple Juice 3 1 __ 4 cups

Raspberry Juice 3 __ 8 cup

Grape Juice 1 __ 2

cup

Part A: Find the total amount of juice that this recipe will make.

Part B: If Jasmine already has 1 1 __ 2 cups of apple juice, how much

more will she need to buy in order to have enough for the recipe?

14. A construction crew is painting lines on the side of a new highway. In one week they are supposed to have 67 1 __

2 miles completed. On

Monday, they painted 13 5 __ 6 miles, and on Tuesday they painted 12 1 __

3

miles. How many more miles are left to paint?

15. Circle which problems would require renaming.

4 1 __ 3 - 2 1 __

2 5 5 __

6 - 3 1 __

3 12 3 __

8 - 7 2 __

5

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use.16. Julian has three lengths of rope: 12 1 __

8 feet, 13 3 __

8 feet, and 11 7 __

8 feet.

Part A: Estimate the total length of rope that Julian has by rounding to the nearest whole foot.

Part B: Estimate the total length of rope by rounding to the nearest half foot.

Part C: Find the exact length of rope that Julian has in total.

17. In the following model fill in the tiles with fractions that make the quantities equal.

112

112

112

112

112

112

112

13

18. Rashaun purchased a 5 gallon bucket of paint. He spilled some

paint when opening the bucket. There are 3 3 __ 8 gallons left in the

bucket. How much paint did Rashaun spill?

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NAME DATE

SCOREChapter 10 Test

1. Santana took out 24 books from the library. She returned 3 __ 8 of them.

Part A: Draw a model to illustrate the situation.

Part B: How many books does Santana have left?

2. Yolanda says that 3 __ 5 of 2 is the same as 2 __

5 of 3. Draw bar models to

show that she is correct.

3. A cook has 11 7 __ 8 cups of flour. He uses 2 __

3 of his flour on Saturday morning.

Estimate how many cups he used. Show how you estimated.

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Grade 5 • Chapter 10 Multiply and Divide Fractions 107




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use.4. Look at the following model.

+ + =

Part A: Shade the blocks on the right side of the equal sign so that the model represents a true statement.

Part B: Write a multiplication problem and answer for the model.

5. A carpenter bought 11 linear feet of an oak board. He used 2 __ 5 of the

board on a baseboard. How many feet did he use?

6. Thelma has 8 yards of fabric. She used 2 __ 3 of the fabric on a project.

Circle any answer that shows how many yards Thelma has left.

16 __ 3 yards 5 1 __

3 yards 8 __

3 yards 2 2 __

3 yards

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108 Grade 5 • Chapter 10 Multiply and Divide Fractions




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7. A field is 2 __ 3 miles long and 1 __

2 mile wide. Draw a model

to help find the area of the field.

8. An electrician has 14 __ 15

yard of wire. He used 5 __ 7 of the wire.

Part A: How many yards of wire did the electrician use?

Part B: How many yards of wire does the electrician have left?

9. The area of a triangle can be found by multiplying 1 __ 2 times the base

times the height. Find the area of the triangle.

height = 5 feet

Base = 7 feet

Area =

Area =

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use.10. Jentilly bought 3 2 __

3 pounds of black cherries. She bought 1 1 __

2 times that

amount in red cherries.

Part A: How many pounds of red cherries did Jentilly buy?

Part B: How many pounds of cherries did Jentilly buy in total?

11. Fill in the circles with <, >, or =.

10 × 2 __ 3 10 17 × 7 __

4 17

12 × 1 2 __ 5 12 8 × 9 _

9 8

12. Kaitlin spent 2 __ 3 of an hour on homework. Her sister, Judy, spent 1 1 __

2 times

that amount. Explain why Judy’s homework time is between 2 __ 3 of an

hour and 1 __ 2 hour.

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13. Chase needs to cut his fishing line into pieces that are 1 __ 4 of a foot. He

has 3 feet of fishing line. Use fraction tiles to help figure out how many pieces Chase can make.

14. Mrs. Chen slices 5 pies. Each slice represents 1 __ 8 of a pie. How many slices

of pie are there?

15. Tyrone has 1 _ 6 pound of almonds. He wants to split this equally among

5 people. What fraction of a pound will each person get?

pieces

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use.16. Gretchen claims that 1 __

3 ÷ 4 is the same as 4 divided by 1 __

3 . Is she

correct? Explain.

17. Ishmael bought a brand new bag of green, yellow, and red marbles. There are 40 marbles in the bag. 1 __

4 of the marbles are yellow. The

number of green marbles is the same as the number of red marbles. How many of each color are there?

red marbles

yellow marbles

green marbles

18. Sort each of the fraction problems into those for which the product or quotient is greater than 1, those for which the product or quotient is less than 1, and those for which the product or quotient is equal to 1.

1 __ 4 ÷ 3 2 ÷ 1 __

5 2 1 __

5 × 3

1 __ 7 × 7 1 __

8 × 2 3 1 _

6 × 1 __

2

Greater than 1 Less than 1 Equal to 1

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NAME DATE


1. Chelsea is measuring a piece of thread.

1 2 3inches0

Part A: What is the length measured to the nearest half inch?

Part B: What is the length measured to the nearest quarter inch?

2. A biologist determined the wingspan of a baby bird to be 6 3 __ 4 inches

when measured to the nearest quarter inch. Her lab partner measured the same wingspan to the nearest half inch and got 7 inches. Circle the statement that describes the actual wingspan.

Less than 6 3 __ 4 inches Between 6 3 __

4 and 7 inches

Greater than 7 inches

3. Compare using <, >, or =.

144 in. 12 ft 6.5 yd 18 ft

2 mi 10,561 ft 72 in. 2 yd

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Grade 5 • Chapter 11 Measurement 113




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use.4. A runner ran a marathon, which is 26.2 miles. How many feet

is this?

5. Mr. Schnur is carpeting his living room. The dimensions are show in the diagram. However, the carpet company wants to know how many square inches this is. Find the area of the floor in square inches.

11 feet

17 feet

6. Francis measured the weight of a red block and got 5 ounces. He then found that a green block weighs the same as 4 red blocks.

Part A: What is the weight of the green block in ounces?

Part B: What is the weight of the green block in pounds

and ounces?

Part C: What is the weight of the green block in pounds?

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114 Grade 5 • Chapter 11 Measurement




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7. How much heavier is 7 pounds than 110 ounces?

8. Frederico has three bags of flour with the following weights.

Bag 1 15 ounces

Bag 2 14 ounces

Bag 3 11 ounces

How many pounds of flour does Frederico have in all?

9. A car manufacturer makes two models. Model A weighs 1.5 T. Model B weighs 2,900 pounds.

Part A: Which model weighs more?

Part B: What is the difference between the two weights in pounds?

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use.10. Circle the statements that are false.

7 pints > 14 cups 2 gallons > 17 pints

9 cups > 2 quarts 1 gallon = 16 cups

11. Calista is making tea for a tea party. Each serving will be 1 cup. How many pints of tea will she need for 16 guests?

12. Dr. Blanchard recommends drinking a gallon of water a day. His patient, Sam, has an 8 fluid ounce glass. How many glasses does Sam need to drink a day in order to follow the doctor’s recommendation?

13. One gallon of a particular liquid weighs 8 1 __ 4 pounds.

Part A: How many ounces does one gallon of the liquid weigh?

Part B: How many ounces does one quart weigh?

Part C: How many ounces does one pint weigh?

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14. The line plot shows the snowfall in inches for the last fourteen days in the town of Snowshoe.

Part A: Make a new line plot that shows the snow fall in feet.

0 1 3 64

XX X

X XXXX

XXXX

XX

0 112

14

12

13

Part B: What is the fair share in feet if the same amount of snow fell

every day?

15. Match the item with the appropriate unit of measurement.

The length of a race millimeter

The width of a postage stamp centimeter

The thickness of a penny meter

The length of a table kilometer

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use.16. A small table for a dollhouse requires 6 cm of a thin wooden board.

A dollhouse maker has 12 meters of wood. How many tables can he make?

17. A large rectangular field has length 1.5 km and width 0.75 km. What is the area of the field in square meters?

18. Shanice weighed her collection of books as 12,014 grams. Her brother, Marquis weighed his books and got 13 kg. Who has the greater weight in books? By how much?

19. If a farmer has 386 grams of tomatoes, 671 grams of potatoes, 711 grams of zucchini, and 997 grams of yellow squash, find the total weight in vegetables in kilograms.

20. Circle the quantity that is not equal to the others.

7.1 L 7,100 mL 7 L 100 mL 1 L 700 mL

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NAME DATE


1. What shapes make up the surface of a soccer ball?

2. A regular triangle has one side length of 15 cm. Find the perimeter of the triangle.

3. A farmer is making a triangular corn maze for a fall attraction. Fill in the boxes next to the words that describe the triangle.

acute obtuse right

scalene isosceles equilateral

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Grade 5 • Chapter 12 Geometry 119




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use.4. A construction company has marked off a site for a building in the

shape of a quadrilateral. All four sides of the site are congruent. Opposite angles are congruent, but there are no right angles. Draw a possible shape for this site.

5. For each of the following pairs of quadrilaterals, describe one thing they have in common.

A rhombus and a square

A trapezoid and a rectangle

A square and a rectangle

A parallelogram and a rhombus

6. Jorge says he is thinking of a quadrilateral that has two right angles and at least one set of parallel sides and says that it must be a rectangle.

Part A: Draw a picture that proves Jorge wrong.

Part B: Name your shape.

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120 Grade 5 • Chapter 12 Geometry




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7. A box company is experimenting with nets for making their boxes. Circle any of the following that will fold up to make a box.

8. A bricklayer is laying bricks for a new patio.

Part A: Fill in the information below for the brick.

faces edges vertices

Part B: What is the name of the shape?

9. Each cube has a side length of 1 inch. Find the volume of the prism.

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use.10. A company that manufactures baskets makes them in the shape

of a rectangular prism.

Part A: The volume of one basket is 29,750 cubic inches. The basket is 35 inches wide and 34 inches long. Find the height of the basket.

Part B: The company makes two smaller baskets that have a volume of 9,600 cubic inches with a height of 25 inches. Find two possibilities for the length and the width.

11. Number each of the shapes from 1 to 3 in increasing order according to their volume. Each cube is one cubic centimeter.

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12. Mrs. Huan has 6 books in a stack. The bottom two books are 12 inches long, 1 inch thick, and 6 inches wide. The middle two books are 10 inches long, 1 inch thick, and 5 inches wide. The top two books are 7 inches long, 0.5 inches thick, and 4 inches wide. Find the volume of the stack.

13. A child is stacking blocks in a pyramid design as shown below, but much bigger. There are 66 blocks in all.

Part A: How many blocks are in the bottom row?

Part B: If each block is a cube with a side length of 2 inches, what is

the volume of the construction?

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use.14. Jackson’s teacher asked him to look at what happens to the volume of

a rectangular prism when every side is doubled.

Part A: Fill in the following chart.

Length Width Height Volume

1 in 1 in 1 in

2 in 2 in 2 in

1 in 2 in 3 in

2 in 4 in 6 in

3 in 5 in 2 in

6 in 10 in 4 in

Part B: Describe what happens to the volume when each side is

multiplied by 2.

15. Mark each statement as true or false.

True False

All rectangles are squares.

Some parallelograms are rhombuses.

All rhombuses are regular quadrilaterals.

Some trapezoids are parallelograms.

16. An architect is building a house that has 5 faces, 9 edges, and 6 vertices. What is the name for a three-dimensional figure that has these characteristics?

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Performance Task

Setting GoalsA factory produces electronic components. The new manager wants to set a goal for how many units will be produced in the upcoming year.


Part AThe factory has existed for seven years. The chart below gives the number of components produced by the factory each year.

Year Components

1 1,432,426

2 1,532,199

3 1,432,501

4 1,570,672

5 1,600,121

6 1,423,411

7 1,531,199

The factory manager needs to put the data in order so that he can make a decision on the next year’s goal. Order the data from least to greatest.

Part BThe factory manger asks his assistant manager to give input for the production goal. The assistant manager suggests 1,423,000 units. Explain why this goal may not be appropriate.

NAME DATE

SCORE

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0125-0126_SBAC_CA_A_BLM_5_C01_PT_312917.indd 1250125-0126_SBAC_CA_A_BLM_5_C01_PT_312917.indd 125 10/29/14 12:48 PM10/29/14 12:48 PM

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use.Performance Task (continued)

Part CWhile the manager is tempted to set a new record by producing more units than have ever been produced in a year, he knows that people are not buying as many components as they used to, and he does not want to make more units than can be sold. He decides to set the goal of producing the third highest number of components in company history. Suggest a goal for the factory manager.

Part DIn researching the company financial reports, the factory manager discovers that the factory must produce at least 1,570,000 units in a year in order to make a profit. Does your goal from Part C meet this requirement? If so, explain why. If not, offer the factory manager a new goal that meets both requirements.

Part EThe factory manager’s supervisor indicates that it is absolutely essential that the total number of units sold in years 6, 7, and the new year 8 be at least 4,500,000. Explain why the goal you gave the factory manager in Part D will also meet this new requirement.

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NAME DATE

SCORE

Performance Task

Buying CardsKeena is ordering baseball cards for her store. The boxes come with 24 packs and each pack has 8 cards.


Part AA customer has requested 12 boxes. Keena estimates the order will be about 200 packs. Is her estimate higher or lower than the actual total? Explain your reasoning.

Part BSuggest a more accurate way of estimating the number of total packs in 8 boxes. Explain why your estimate will be more accurate.

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Part CThe store used the following area model to find the total number of packs in 12 boxes. Complete the labeling shown.

20 4

10

________ total packs

Part DHow many total cards are in 12 boxes? Explain your reasoning.

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NAME DATE

SCORE

Performance Task

Saving for a BikeJanelle is trying to save money in order to purchase a bike. The bike costs $486. She has three different ways of making money, which are shown in the table below.

Mowing Lawns $8 per lawn

Walking Dogs $5 per walk

Washing Cars $9 per car


Part AJanelle wants to pay for the bike in 6 months. How much does she need to save each month in order to accomplish her goal? Explain.

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Part BIn the first two months, Janelle only washes cars. How many cars does she need to wash in order to make her goal for the first two months? Explain.

Part CIn the third and fourth months, Janelle only mows lawns. How many lawns does she need to mow in order to make her goal? Explain the meaning of the remainder.

Part DHow much does Janelle have left to earn? If she only walks dogs for the last two months, how many dogs will she need to walk to make her final goal for buying the bike? Explain

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NAME DATE

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Performance Task

Constructing Frames for an Art GalleryA woodworker is making picture frames for some rather large paintings for a local art gallery. Each of the paintings has an area of 3,796 square inches. An example of the paintings is shown below:

73 inches


Part AFind the length of the painting? Explain.

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Part BThe woodworker goes to a supply store and finds that boards are only sold in lengths of 5 feet and 8 feet. Are these boards long enough for the project? Explain.

Part CThe woodworker was contracted for 12 frames. He needs to make at least $1,152 in order to make the project worthwhile. How much does he need to charge for each frame?

Part DFill in the chart for how many 5-foot boards and 8-foot boards the woodworker will need to fill the order, and fill in the amount of wood left over. Explain.

Board Length Boards needed for 12 frames

Total inches left over

5 feet

8 feet

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NAME DATE

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Performance Task

Planning for a TripThe Perez family is planning for their summer vacation. The drive will take them three days, and the table shows how many miles they will drive each day.

Day 1 481.23 miles

Day 2 512.94 miles

Day 3 282.22 miles


Part AEstimate the total number of miles that the Perez family will travel for the trip by rounding the number of miles each day to the nearest 10? Show your estimates.

Part BThe family car will get 25 miles per gallon of gas. Use your estimate to determine how many gallons of gas the family will need to buy. Round to the nearest gallon. If gas is $4 per gallon, find out how much money they will need to budget for gas.

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Part CBased on last year’s trip, Mr. Sanchez has planned the following expenses for meals and hotel for one day.

Breakfast $18.15

Lunch $22.62

Dinner $35.67

Hotel $129.00

The first two days, the family will eat all three meals and will need a hotel room. The third day they will need to eat only breakfast and lunch, and they will not need a hotel room. How much should the family expect to spend on food and lodging? Explain.

Part DMr. Sanchez has saved $700 for the trip. Given the estimate for the cost of gas and the expenses for food and lodging, how much can he expect to have left at the end of the three days. Explain.

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NAME DATE

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Performance Task

Making a Healthy Snack MixArundhati wants to make a snack mix with the following healthy ingredients. The total fat, salt, and calories are listed for a serving.

Almonds Raisins Banana Chips

Total Fat 14.25 grams 0.14 grams 10.56 grams

Salt (Sodium) 0.001 grams 3.56 grams 0.002 grams

Calories 168.54 90 155.28


Part AArundhati will include 2 servings of almonds, 1.5 servings of raisins, and 1.5 servings of banana chips. Find the total fat that is in her mix. Show the expression you used to determine the answer.

Part BFind the total salt (sodium) that is in Arundhati’s snack mix. Show the expression you used to determine the answer.

5.NBT.7

5.NBT.7


Program: SBAC Component: Ancillary First Pass



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Part CFind the total calories that are in her mix. Show the expression you used to determine the answer.

Part DIf Arundhati has 2 servings of almonds, 1.5 servings of raisins, and 1.5 servings of banana chips, how many total servings does she have in her mix?

Part EArundhati wants to calculate the total fat, salt, and calories per serving in her snack mix. Use your answers from Parts A, B, and C, together with the number of servings from Part D to fill in the following table.

Total Fat per Serving

Salt (Sodium) per Serving

Calories per Serving

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Program: SBAC Component: AncillaryFirst Pass



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Performance Task

Planting TreesKanona and Latoya have each developed a plan for planting new trees in their local parks. Kanona will plant 2 trees the first year, 4 trees the second year, 8 trees the third year, and so on. Latoya will plant 6 trees the first year, 9 the second year, 12 the third year, and so on.


Part ADescribe the pattern for each girl’s tree planting plan.

Part BFor each of the first four years, plot the number of trees that each girl plans to plant. Use a different mark for each of the girls.

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1 2 3 4 5

y

Year

Num

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es

x

NAME DATE

SCORE

5.OA.3

5.G.1





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Part CFor the first couple of years Latoya plants more trees than Kanona. In what year will Kanona plant more trees than Latoya?

Part DFill in the table with the total number of trees planted in that year by both girls.

Year 1

Year 2

Year 3

Year 4

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Performance Task

Batting AveragesWinston has been batting for the same baseball team for five years. The table shows how many times he was at bat and how many hits he got.

Year At Bats Hits

1 10 3

2 20 7

3 20 4

4 25 8

5 25 10


Part AFor each year, what fraction of the times that Winston went to bat did he get a hit? Write your answer as a fraction in lowest terms and as a decimal. The first year is done for you.

Year Fraction in lowest terms

Fraction as a decimal

1 3 __ 10

0.3

2

3

4

5

NAME DATE

SCORE

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Part BPut each year in order from Winston’s best performance to his worst.

Part CHow many at bats did Winston have over the course of the five years? How many hits did he get in that time? Use this to find the decimal that represents the fraction of the time that Winston got a hit in the five-year period.

Part DWinston’s friend Vince had the exact same batting average in five years. However, Vince only batted 50 times. How many hits did Vince get in this time? Explain.

5.NF.2, 5.NF.5b

5.NF.2, 5.NF.5b

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Performance Task

Triathlon TrainingMinh and PJ are training for a triathlon that involves swimming, biking, and running. They spend a week training for each event.


Part AIn Week 1 the two athletes are concentrating on swimming. The table shows how many miles each person swam on the given day.

Day Minh PJ

Monday 1 _ 3 mile 1 __

4 mile

Tuesday 1 __ 2 mile 1 __

2 mile

Wednesday 3 __ 4 mile 1 mile

Thursday 1 mile 2 __ 3 mile

Friday 1 __ 4 mile 1 __

4 mile

Which athlete swam further? Explain.

NAME DATE

SCORE

5.NF.1, 5.NF.2





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Part BIn Week 2 the two athletes are concentrating on running and decide to train together. Their goal is to run 60 miles in five days. On Monday they run 10 1 __

2 miles. On Tuesday they run 13 1 _

3 miles. On Wednesday they

run 11 3 __ 4 miles. On Thursday they run 12 2 __

3 miles. How far do they have to

run on Friday to meet their goal? Explain.

Part CIn Week 3 the two athletes concentrate on biking. Minh’s goal is to bike 125 1 __

2 miles. At the end of the week, he found that he actually biked

125 1 _ 6 miles. PJ’s goal was to bike 120 1 __

4 miles. At the end of the week he

found that he actually biked 120 miles. Which athlete was closer to making his goal? Explain.

5.NF.1, 5.NF.2

5.NF.1, 5.NF.2





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Performance Task

Creating a Floor PlanAn architect is trying to figure out how to layout a kitchen, a family room, and a living room in a new home. He wants 1 __

2 of the floor to be

the family room. Once that is marked off, the architect wants 2 __ 3 of the

remaining space to be the kitchen and the rest to be the living room.


Part AA model of the floor is shown below. Divide the floor into areas to find the fraction of the whole that the kitchen will take up. Shade the kitchen. Explain your answer and diagram with a number sentence.

NAME DATE

SCORE

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Part BThe large rectangle is 40 feet by 20 feet. Find the area of the kitchen in square feet. Explain.

Part CThe cost of building the kitchen will be $114 per square foot. Find the cost of constructing the kitchen. Explain.

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Performance Task

Comparing MountainsA scientist wants to compare information on three different mountain hikes. Research ahead of time the height in feet of Mount Everest, Mount McKinley, and Mount Kilimanjaro.


Part AFrom your research, fill in the heights in feet of the three mountains. Then convert the measurements to miles and feet.

Mountain Height in Feet Height in Miles and Feet

Mt. Everest

Mt. McKinley

Mt. Kilimanjaro

NAME DATE

SCORE

5.MD.1





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Part BFrom your research, fill in the heights in meters of the three mountains. Then convert the measurements to kilometers.

Mountain Height in Meters Height in kilometers

Mt. Everest

Mt. McKinley

Mt. Kilimanjaro

Part CThe weight of a day pack containing hiking supplies is 20 pounds. How many ounces is this? Show your calculation.

Part DEach day before climbing, it is recommended that a climber drink 1,500 milliliters of water. How many liters is this? Explain.

5.MD.1

5.MD.1

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Performance Task

Constructing Cereal BoxesA cereal company is looking to construct a new box for their leading brand of cereal. The box and its dimensions are shown below.


Part AEach box needs to be cut from a flat piece of cardboard. Draw a net for the box and label the length, width, and height.

NAME DATE

SCORE

2 in

9 in

12 in

5.MD.3





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Part BThe amount of cardboard needed is measured in square inches. Find the area of the net you drew in Part A in order to find the area of cardboard needed to construct a box.

Part CThe box will be filled 3 __

4 of the way with cereal. Find the volume

of cereal that can be put in each box.

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5.MD.3





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NAME DATE

SCOREBenchmark Test 1

1. An amusement park admitted 28,512,121 people last year.

Part A: Fill in the place value chart for the number of people admitted by the park.

ThousandsMillions Ones

10,000500,000

8,000,00020,000,000

2,000 20100 1

hundreds hundreds onestenshundreds onestensonestens

Part B: Write the number in words.

Part C: Write the expanded form of the number.

2. Write and solve a division problem that is modeled by the picture.

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5.NBT.6

Grade 5 • Benchmark Test 1 149



0149-0156_SBAC_CA_A_BLM_5_BT1_131291.indd 1490149-0156_SBAC_CA_A_BLM_5_BT1_131291.indd 149 11/15/14 7:11 PM11/15/14 7:11 PM

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use.3. The Schmidt family is decorating their house for the winter.

Packages of lights cost the same amount, but they have different size strands in them. Mr. Schmidt want to buy the package that has the greatest number of lights.

Light Bulb Packages

Strands in Package Light Bulbs Per Strand

5 80010 35015 26020 21025 160

Part A: Complete the table below with the number of lights per package.

Strands in a Package 5 10 15 20 25

Lights Per Package

Part B: Which package provides the greatest number of light bulbs?

4. A surveyor is dividing a large plot of land that measures 27,512 square miles. He wants to divide the area into 91 equal regions. Estimate how large each area will be. Show your work.

5. Which of the following three is not equal to the other two? Circle the answer.

5.62 Five and sixty-two tenths

5 × 1 + 6 × 1 __ 10

+ 2 × 1 ___ 100

5.NBT.6

5.NBT.1

5.NBT.3b

150 Grade 5 • Benchmark Test 1




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6. The chart shows the cost of several school supplies. Which combinations can you buy with $23?

Pencil $1

Notepad $5

Binder $7

Pen $2

Yes No

2 binders, 1 notepad, and 2 pens

3 binders and 2 pencils

3 notepads, 1 binder, 1 pen, and 1 pencil

1 notepad, 1 binder, 3 pens, and 5 pencils

7. Nine families went on a campout together. The total bill for the weekend supplies was $603. The families will split the bill evenly.

Part A: How much should each family contribute?

Part B: Estimate to check your answer.

8. A local car dealership sells 9,792 cars per year. How many cars does the dealership sell per month?

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5.NBT.6

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use. 9. The following chart lists the weight of six packages that came into

the post office. Place the weights in order from least to greatest.

3.15 lbs 3.51 lbs 3.05 lbs

5.03 lbs 5.13 lbs 3.015 lbs

10. The product of 76 and another number is 15,580. Complete the table to help you estimate the other number.

76 × 100

76 × 150

76 × 200

76 × 250

76 × 300

11. Part A: Fill in the following table with quotients and remainders.

Division Problem Quotient Remainder

5,338 ÷ 13

5,337 ÷ 13

5,336 ÷ 13

Part B: What pattern do you notice?

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12. Jayna drives 17 miles each day to work. She wants to know how many miles she drives in a month. Is there too much information or not enough information to solve this problem? Shade the box next to the correct description. If there is too much information, name the extra information and solve the problem. If there is not enough information, describe what Jayna would need to know to solve the problem.

Too much information Not enough information

13. Jenna is trying to use the digits 1, 2, 2, 0, 2, 1 to make a number that is between 210,000 and 220,000. Shade the box next to any answer that is correct.

122,021 210,221

210,121 222,110

14. The Chen family is saving for a vacation to Europe. They need $7,000 for the trip. The family plans to save $312 per month.

Part A: Fill in the partial product diagram to show how much they will save in two years.

300 10 2

4

Part B: How much extra money will they have saved?

5.NBT.6

5.NBT.3

5.OA.7





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use.15. An apple farmer sells apples in bag that hold 7 apples. Her picking

crew has picked all the apples that are ready for the weekend sale and begin packaging them into the bags of 7. At the end of the bagging, they have some leftover apples. Shade the boxes next to any number that is a possible remainder, then explain your reasoning.

0 3 6

1 4 7

2 5 8

16. A local charity is storing up large containers of drinking water for emergency purposes. Each container of water costs $19. The charity has $5,147 in donations.

Part A: How many containers of water can the charity buy?

Part B: What is the remainder, and what does it mean?

Part C: Estimate to check your answer. Show your work.

17. The table shows the number of pounds of sugar that a bakery used in three different months. If the bakery used 28 fewer pounds in January than they did in February and the total pounds for the three months was 726 miles, fill in the missing values on the chart.

Month Pounds of Sugar

January

February 251

March

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18. The following table shows the number of toothpicks in several different boxes together with the number of boxes in a package. Fill in the table with the missing values.

Number of Toothpicks in a Box

Number of Boxes in a Package

Total Number of Toothpicks in a Package

102 85

102 12,500

176 176,000

104 298

19. A pizza company is open 50 weeks per year. In one year, they sold 8,350 pizzas.

Part A: Fill in the division fact with compatible numbers to estimate the average number of pizzas the company sold per week.

÷ = pizzas

Part B: Find the exact average of pizzas sold per week.

Part C: Is your estimate greater than or less than the actual number? Explain how you could have known this ahead of time.

20. Circle any that would not be good ways of estimating 4,924 ÷ 71.

4,900 ÷ 70 = 70 5,000 ÷ 100 = 50

4,000 ÷ 100 = 40 4,000 ÷ 50 = 80

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use.

Performance Task

A Cross-country TripThe Perez family is driving from New York City to Los Angeles, but they need to drive through Chicago first to see family. They are trying to plan how many days it will take them to make the trip. Research the distance from New York, NY to Chicago, IL and the distance from Chicago to Los Angeles, CA.


Part AFill in the table from your research, and round the distances to the nearest hundred miles. Find the total distance the family will travel.

Distance from New York to Chicago

Distance from Chicago to LA

Total

Part BThe Perez car will travel 65 miles per hour. If they plan to drive 8 hours per day, how many miles can they travel in one day? Show your work.

Part CFind the number of days it will take to drive to Chicago. Find the number of days it will take to drive to Los Angeles. If the Perez family plans to stay in Chicago for 3 days, find the total length of the trip. Show your work.

5.NBT.4

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NAME DATE


1. Round the following number to the nearest hundredth. Write the rounded number in both expanded form and standard form.

4 × 10 + 3 × 1 + 7 × 1 __ 10

+ 8 × 1 ___ 100

+ 6 × 1 ____

1000

Expanded Form Standard Form

2. A cook uses 0.4 pounds of butter every morning on croissants. Regroup and shade the models to figure out how much butter he uses in five days.

Monday Tuesday Wednesday Thursday Friday

pounds

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use.3. A rock is thrown up in the air. The height of the rock in feet

after three seconds is 4 × 32 + 6 × 3 + 12. Find the height of the rock.

4. Jamal ran 21 miles in 5 days. Circle any of the following that describe the average number of miles Jamal ran per day.

5 __ 21

21 __ 5 4 1 __

5 5 1 __

4

5. A discount book club has a monthly fee of $6. Once you pay the fee, you can buy books for $5 each. In January, Mr. Huan joined the book club and bought 12 books.

Part A: Write an expression for how much Mr. Huan spent.

Part B: Evaluate the expression to find out how much John spent.

6. Put the following numbers in order from least to greatest.

54.03 × 103 5.403 × 102 0.0543 × 104

5.NF.3

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7. Consider the following five numbers.

10 15 20 25 30

Part A: What is the greatest common factor of all five numbers?

Part B: Cross out two of the five numbers so that the remaining numbers have a greatest common factor of 10.

8. Write the correct property of addition for each step.

4.4 + (3.2 + 2.6) + 0

= 4.4 + (2.6 + 3.2) + 0

= (4.4 + 2.6) + 3.2 + 0

= 7.0 + 3.2 + 0 Addition

= 10.2 + 0 Addition

= 10.2

9. A factory needs to sell 2 __ 3 of its inventory in order to make a profit.

The fractions below represent the part of the factory’s inventory that was sold. Circle any fractions that represent the factory making a profit.

7 __ 11 9 __

13 10 __

16

5.NF.2

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5.NF.5b







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use.10. An electrician has purchased 102 meters of wire. Each time he wires

an outlet in a particular room he uses 15.17 meters of wire. Fill in the following table to figure out how many outlets he can wire and how much wire will be left over.

Outlets Wired Wire left over

1 102 - 15.17 = 86.83 meters

2

3

4

5

6

7

outlets

meters left over

11. Giovanni was given the following diagram that is supposed to represent a decimal division problem. Write the problem, and find the answer.

÷ =

12. Circle the pattern that does not belong.

3, 6, 9, 12 2, 4, 8, 16

2, 5, 8, 11 2, 6, 10, 14

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13. Match each fraction with its decimal equivalent.

11 __ 25

0.60

3 __ 5 0.75

3 ___ 20

0.44

3 __ 4 0.15

14. A bicyclist is riding around town for the morning. The map below shows the places he visits.

1O

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2 3 4 5 6 7 8 9 10

x

y

Bookstore

Coffee Shop

Home

Part A: If the bicyclist starts at home, describe the path he can take to the bookstore, and then to the coffee shop.

Part B: The bicyclist goes directly home from the coffee shop. How many units was his total trip?

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use.15. Shade the box under “Yes” or “No” to indicate whether each problem

will require regrouping.

Yes No

7.21 + 0.73

29.13 + 20.35

35.05 + 27.05

121.92 + 2.18

16. Glow sticks are sold in packs of various sizes. Which of the three brands is the best buy?

Brand Number in Pack Price

A 6 $3.57

B 15 $8.25

C 20 $11.20

17. The table below shows the number of marbles of three different colors that a marble shop has. They want to package the marbles into bags that will have only one color of marble, and they wants to make sure that each bag has the same number of marbles. If all of the marbles are put into bags, what is the greatest number of marbles that could be in each bag?

Pink 75

Red 30

White 60

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18. A local fundraising effort managed to raise the following dollar figures in three different activities.

Car Washes $598

Bake Sales $243

Yardwork $102

Part A: Write down the best order in which to add the numbers so that it is easiest to find the total using mental math.

Part B: Find the total amount raised.

19. A soccer coach has marked off an area in the shape of a triangle for some soccer drills. He wants to put a cone at every point that lies inside the triangle. Circle any coordinate pair on which the coach should put a cone.

10

123456789

10

2 3 4 5 6 7 8 9 10

x

y

(5, 3) (8, 4) (4, 8) (9, 4) (3, 7)


988 ÷ 1,000 9.88 ÷ 10

98.8 ÷ 100 98.8 ÷ 10,000

5.NBT.7

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use.

Performance Task

Apple PickingThe Ramirez family is picking apples at an orchard that sells them by the peck. The family came home with 5.25 pecks of apples. Research how many gallons are in a peck.


Part AHow many gallons are in a peck? Use this information to figure out how many gallons of apples the Ramirez family bought.

Part BThe family gave 1.5 pecks away to a relative, and gave some more to their neighbors. There are 2.5 pecks left. How many pecks did they give to their neighbor? Explain.

Part CEach peck of apples cost $5.40. How much did the Ramirez family spend on apples? Explain.

Part DWith the 2.5 pecks of apples that the Ramirez family has left, Mrs. Ramirez intends to make pies. One pie takes 0.25 of a peck. How many pies can she make? Explain.

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NAME DATE


1. Juanita has three more than 2 times the number of books than her friend Uma has.

Part A: If Uma has 6 books, write and solve the expression for the number of books Juanita has.

Part B: If Uma has 7 books, how would the number of books in Juanita’s collection compare to your answer in Part A? Explain.

2. Mr. Ortiz is distributing tennis supplies to his team of 20 players. The extras he will store for future years. Write an expression for the number of supplies each player receives and then evaluate each expression.

Supplies Expression Each Player Receives

95 tennis balls

61 racket grips

1,200 bottles of water

24 t-shirts

3. Which of the following can be modeled by the division expression 550 ÷ 5? Choose all that apply.

A. 550 dollars distributed evenly to 5 groups

B. 5 points distributed evenly 550 times

C. 550 pounds distributed evenly into bags of 5 pounds each

D. 550 feet per step for 5 steps

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0165-0176_SBAC_CA_A_BLM_5_BT3_131291.indd 1650165-0176_SBAC_CA_A_BLM_5_BT3_131291.indd 165 19/11/14 3:31 AM19/11/14 3:31 AM

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use.4. Compare 7 __

10 and 7 ___

100 .

Part A: Shade the decimal models to show each fraction. Then write each as a decimal.

Part B: Compare the two decimals. Use >, <, or =. Explain.

5. A farmer measured a sample of his corn plants after two weeks and recorded the following measurements in inches: 4 1 __

2 , 5, 6 3 __

4 , 7 1 __

4 , 4 1 __

2 , 6 1 __

4 ,

7, 6 3 __ 4 , 7, 6 3 __

4 .

Part A: Use the line plot to record the measurements.

Heights of corn plants (inches)

4 5 6 7

Part B: What is the sum of the heights of all the corn plants?

6. Each dog in a kennel needs 8 pounds of food for their upcoming stay. If the kennel has 225 pounds of food, will there be enough to accommodate 20 dogs? If so, how many more dogs can be accommodated? Explain your reasoning.

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7. Draw the decimal points on each number on the left side of the equation so that the difference is correct as shown.

3 2 5 - 4 2 = 28.38. Shanna is delivering papers on her morning route.

She starts at (0, 0), and three of her houses are at points 3 right, 6 up; 2 up, 1 right; and 5 right, 3 up. Use the grid to draw and label the points where the houses are located.

9. While dividing numbers with zeros at the end, Ethan notices a certain pattern. His results are shown in the table.

Part A: What pattern does he recognize?

Part B: Using this pattern, what is the result of 10,000 ÷ 50?

10. In a competition for the tallest stack of balanced blocks, the top four heights were recorded as follows: 2.9 m, 2.77 m, 2.81 m, 2.84 m. Place a dot on the number line for each given height and label.

2.78 2.80 2.82 2.84 2.86 2.88 2.902.70 2.72 2.74 2.76

Expression Quotient100 ÷ 5 20

1000 ÷ 50 2010 ÷ 5 2

100 ÷ 50 2

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x

y

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use.11. A carpenter is cutting a piece of wood that is 1 yard by

1 yard. He wants one side to be 3

__ 8 of a yard and one side

to be 1 __ 4 of a yard.

Part A: Model the desired cut on the square of wood shown.

Part B: What is the area of the wood?

12. Use the Venn diagram to sort the shapes. Draw a line from the shape to the correct area of the diagram.

ObtuseAngle

RegularPolygon

13. A group of friends earned $5,520 doing yard work around town for a year. They decided to give one third of the money to a charity. Then each friend received an equal portion of the money, but less than what was given to charity. Were there 2, 3, or 4 friends? How much money did each friend receive? Explain your reasoning.

1 yard

1 yard5.OA.2

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14. Julian has 12 unit blocks. He needs to create rectangular prisms.

Part A: Use the table shown to create as many rectangular prisms as you can.

Part B: As long as the prism has the same three numbers for the sides, it is considered to be the same. How many unique prisms can you create?

15. Draw lines between equivalent numbers.

1 6 __ 7 3 __

4

3 2 __ 5 2 __

3

16 ___ 24

17 __ 5

18 ___ 24

13 __ 7

16. The order for a collection of artwork is shown. What is the total area of canvas needed to for the order of all of the artwork?

Artwork Order

Quantity Dimensions (in.) Total Square Inches

6 12 3 __ 4 × 8

2 10 3 __ 8 × 10

8 15 1 __ 2 × 9

Total =

Length Width Height5.G.4

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use.17. Which of the following use the proper order of operations? Select all

that apply.

20 - (6 + 5 × 2) = 38

4 × [8 - (10 ÷ 2)] = 12

15 - 1 + 3 = 11

42 + 2 × 5 = 26

2 × (24 + 1) = 50

18. There are 10 milligrams in every centigram, 100 milligrams in every decigram, and 1000 milligrams in every gram.

Part A: How many centigrams are there in a gram? Explain.

Part B: How many decigrams are there in a gram? Explain.

Part C: How does a gram compare to a decigram? Explain.

19. While trying to add lengths for marking off a garden plot, Mrs. Shen calculated that 3 __

5 + 1 __

2 = 4 __

7 . Use estimation to determine if Mrs. Shen is

correct.

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20. Martina compared numbers with similar digits. Using mathematical language, explain how each set of numbers is different.

21. At the end of a night, a cashier empties the registers of the $1, $10, and $100 bills. There are 40 bills total. Which of the following would make the least amount of money? Explain how you solved the problem.

22. Pianos have 88 keys. If a company produces 620 keys, how many pianos can be produced? What does the remainder mean in this case?

Possible Bill Combinations

$1 Bills $10 Bills $100 Bills

6 34 0

4 35 1

16 22 2

3 36 1

A 12,678 and 2,678

B 576 and 57.6

C 49 and 049


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use. 23. Belinda’s work is shown for a recent test on fraction operations.

7 ÷ 1 __ 5 = 7 ÷ 1 ____

5 = 7 __

5

Part A: What mistake did Belinda make while dividing?

Part B: What is the correct quotient?

24. A long jumper jumped 19.569 feet.

Part A: Round this number to the nearest hundredth.

Part B: Place rounded number on the number line shown.

19.6019.0 19.20 19.40 19.80 20.0

25. Explain how you model 0.6 × 0.5 using a decimal grid. How would this vary from 1.6 × 0.5?

26. While trying to solve 4.21 + 0.52, Raj found the sum to be 42.62. Explain why this is or is not a valid answer using estimation.

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27. A baker gradually added flour to a mixing bowl for bread. He started with 3 cups of flour. He then added 1.5 cups. The third time he added 5 ounces less than the second time. Finally he added 5 ounces. How many cups of flour did he add in all? Explain your reasoning.

28. A piece of wire is 2.4 meters in length. An electrician can create 4 equal sized wires from this piece or 6 equal sized wires from this piece. Use the number lines below to model each option.

1.2 1.40 0.40.2 0.6 0.8 1.0 1.6 1.8 2.42.22.0

1.2 1.40 0.40.2 0.6 0.8 1.0 1.6 1.8 2.42.22.0

29. Juan went on four runs over the past week. The first two measured 3 __ 4 mile and 1 1 __

4 miles. The third and fourth measured 7 __

8 mile and 1 3 __

4

miles.

Part A: Find the sum of the first two, then the sum of the last two.

Part B: Describe how the adding processes differed.

Part C: What is the total of all four runs?

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use. 30. A restaurant owner is buying packages of toothpicks. Each package

comes with a certain number of boxes that contain the toothpicks. Because they all cost roughly the same price, he decides he wants the package that provides the most toothpicks.

Part A: Complete the table

Toothpick Packages

Number of Boxes in a Package Toothpicks per Box Total Toothpicks

2 800

3 450

5 350

10 160

Part B: Which package provides the greatest number of toothpicks?

31. You have a recipe for a fruit smoothie, but you want to increase the recipe so that it feeds 3 1 __

2 times the original number of people.

Complete the table by writing the new measurements.

Original Recipe 3 1 _ 2 Times Recipe

1 cup bananas

2 1 __ 2 cups strawberries

3 __ 4 cup of milk

2 tablespoons of honey

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Performance Task

Building a Corn BinAn engineer is preparing plans for building a structure to hold spare corn for a farmer. The structure will be a rectangular prism that is 12 1 __

2 feet wide,

16 feet long, and 6 1 __ 2 feet tall.


Part AThe main structure will be built with solid steel beams. Determine how many beams of each length the engineer will need for the frame, and plot the lengths on a line plot.

Lengths of Beams (feet)

6 7 9 11 168 10 12 13 14 15

Part BBeams only come in lengths of 8 feet, 15 feet, and 20 feet. The engineer will cut the lengths he needs for the bin from these sizes. Each beam can only be cut one time. Find the length of beam in inches that will be left over after the engineer makes his cuts. Show your calculation.

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Part CFind the volume of the bin in cubic feet. Show your calculation.

Part DSuppose the farmer changes the project requirements and wants the bin to be 25 feet wide instead of 12 1 __

2 feet wide. How will the volume of the

new bin compare to the volume of the original bin? Explain your reasoning.

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NAME DATE PERIOD


1. Mr. Li is buying packages of notebooks. Because they all cost roughly the same price, he decides he wants the package that provides the most sheets of paper.

Part A: Complete the table below with the number of total sheets per package.

Notebooks Total Sheets

1

3

6

10

Part B: Which package provides the most total sheets of paper? Justify your response.


85.20 85.2

852 + 0.2 85.2

eighty-five ones and two tenths 85.2

852 hundredths 85.2

Notebook Package Sizes

Number of Notebooks

Sheets per package

1 800

3 350

6 250

10 150

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use.3. In a competition for the tallest sunflower, the top four heights

were recorded as follows: 3.9 m, 3.88 m, 3.82 m, 3.76 m.

Place a dot on the number line and label for each given distance.

4. Julian compared numbers with similar digits. Using mathematical language, explain how each set of numbers is different.

A 13.542 and 35.42

B 781 and 78.1

C 1.2 and 01.20

3.78 3.8 3.82 3.84 3.86 3.88 3.903.70 3.72 3.74 3.76

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5. There are 10 millimeters in every centimeter, 100 millimeters in every decimeter, and 1000 millimeters in every meter.

Part A: How many centimeters are there in a meter? Explain.

Part B: How many decimeters are there in a meter? Explain.

Part C: How does a meter compare to a decimeter? Explain.

6. Compare 5 __ 10

and 5 ___ 100

.

Part A: Shade the decimal models to show each fraction. Then write each as a decimal.

Part B: Compare the two decimal fractions. Use >, <, or =. Explain.

7. While trying to add together the widths of some boards for a deck he is building, Haj said that 4 __

7 + 1 __

2 = 5 __

9 . Use reasoning to determine

and then explain if Haj is correct.

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use.8. An academic team won a scholarship of $5850. One fourth of the

money was first given to a charity. Then each team member received an equal portion of the scholarship money, but less than what was given to charity. Were there 2, 3, or 4 team members? How much money did each team member receive? Explain your reasoning.

9. Which of the following can be modeled by the division expression 650 ÷ 5? Choose all that apply.

A. $650 distributed evenly to 5 groups

B. 5 points distributed evenly 650 times

C. 650 ounces distributed evenly into beakers of 5 ounces each

D. 650 millimeters per step for 5 steps

10. Each student needs 11 pencils for the school year. If the school started with a box of 1325, would there be enough for a school of 120? If so, how many more students can be supplied pencils? Explain your reasoning.

11. Ms. Marcella is distributing school supplies to her classroom of 30 students. Write an expression for the number of supplies each student receives and then evaluate each expression.

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Supplies Expression Each Student receives

100 folders

65 highlighters

1000 sheets of paper

34 calculators





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12. While dividing two numbers with zeros at the end, Eugenio notices a certain pattern. His results are shown in the table.

Part A: What pattern does he recognize?

Part B: Using this pattern, what is the result of 10,000 ÷ 20?

13. If 365 work days are to be split among 12 employees evenly, how can you rewrite this as a fraction? What does the fraction represent?

14. A grasshopper jumped 6.434 centimeters.

Part A: Round this number to the nearest hundredth.

Part B: Place the rounded number on the number line shown.

6.4 6.5 6.6 6.7 6.8 6.9 7.06.0 6.1 6.2 6.3

Expression Quotient

100 ÷ 2

1000 ÷ 20

10 ÷ 2

100 ÷ 20

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use.15. While trying to solve 1.43 + 0.71, Kevin found the sum to be 15.01.

Use estimation to explain your reasoning why this is or is not a valid answer.

16. Draw the decimal points on each number on the left side of the equation so that the difference is correct as shown.

2 1 4 – 2 3 = 19.117. A strip of cloth is 1.4 meters in length. A tailor can create 7 equal

sized strips from this piece or 2 equal sized strips from this piece. Use the number lines below to model each option.

0.60.0 0.1 0.2 0.3 0.4 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.40.5

0.60.0 0.1 0.2 0.3 0.4 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.40.5

18. Aaron’s work is shown for a recent operations on fractions test.

4 ÷ 1 __ 4 = 4 ÷ 1 _____ 4 = 4 __ 4 = 1

Part A: What mistake did Aaron make while dividing?

Part B: What is the correct quotient?

19. Explain how you model 0.7 × 0.8 using a decimal grid. How would this vary from 1.7 × 0.8?

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20. Which of the following uses the proper order of operations? Select all that apply.

3 × (54 + 7) = 183

12 - 5 + 2 = 5

3 × [5 - (6 ÷ 2)] = 6

32 + 7 × 4 = 37

24 - (7 + 3 × 2) = 40

21. John is four more than 3 times his daughter’s age.

Part A: If John’s daughter’s age is 10, write and solve the expression for John’s age.

Part B: If John’s daughter is 9, how would John’s age compare to your answer in Part A? Explain.

22. Draw lines between equivalent fractions.

1 3 __ 5 13 __

5

2 3 __ 5 8 __

5

8 ___ 32

1 __ 4

6 ___ 32

3 __ 16

23. A fire fighting robot needs to be programmed to go where the fire is. (0, 0) is considered the entrance to the room, and the fires are at points 2 right, 8 up; 2 up, 2 right; and 6 right, 2 up. Use the grid to draw and label the points where the fires are located.

1O

123456789

2 3 4 5 6 7 8 9

x

y

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use.24. A tailor has a piece of cloth that is 1 yard wide by 1 yard

long. From this he will cut a piece of cloth that is 5 __ 8 of a

yard wide by 3 __ 4 of a yard long.

Part A: Model the desired cut on the square of fabric shown.

Part B: What is the area of the fabric? Write an equation.

25. Use the Venn diagram to sort the shapes. Draw the line from the shape to the correct area of the diagram that describes it.

Right AngleParallelogram

26. Marcus is adding 2 __ 3 cup and 1 1 __

3 . cups of cereal together in a bowl.

In another bowl, he adds 5 __ 8 cup and 1 1 __

4 cups of dried fruit.

Part A: Find the sum of the contents of each bowl.

Part B: Describe how the adding processes differed between finding the two sums.

Part C: What is the total of contents in both bowls together?

1 yard

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27. The order for the Grade 5 class photo is shown. What is the total square footage of photo paper needed to print all the photos? Write an equation to show your work.

Total =

28. While measuring their bean plants after two weeks, the class recorded the following measurements in inches: 5 1 __

2 , 6, 5 3 __

4 , 6 1 __

4 , 5 1 __

2 ,

6 1 __ 4 , 6, 5 3 __

4 , 6, 5 3 __

4 .

Part A: Use the line plot to record the measurements.

5.0 5.5 6.0 6.5

Heights of bean plants (inches)

Part B: What is the total height of all the bean plants together?

29. You have a recipe for pancakes, but you want to increase the recipe so that it feeds 2 1 __

2 times the original number of people. How much

of each ingredient do you need now?

Original Recipe 2 1 _ 2 Times Recipe

1 cup flour

2 __ 3 cup sugar

3 __ 4 tablespoons baking powder

1 __ 2 teaspoons salt

Grade 5 Class Photos

Quantity Dimensions (in.) Total Square Feet

7 7 3 __ 4 × 5

3 3 3 __ 8 × 4

8 8 × 10 1 __ 2

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use.30. A cat jumped 3 times. Starting at the porch, he jumped 3 feet.

Then he jumped 5 inches less than the first jump. Finally, he jumped 1 1 __

2 feet further than his second jump. What were the

lengths of his jumps? How far from the porch is the cat now?.

31. Kellen has 20 unit blocks. He needs to create rectangular prisms.

Part A: Use the table shown to create as many rectangular prisms as you can.

Length Width Height

Part B: As long as the prism has the same three numbers for the sides, it is considered to be the same. How many unique prisms can you create?

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Performance Task

Building a SandboxYou are building a sandbox for your little brother. The width of all the spare boards you have is 1 foot. The lengths of these boards are shown in the table below.

Board Length (ft)

5 1 __ 2

6 4 1 __ 2

6 5 1 __ 2

5 1 __ 2

5 1 __ 2

5 5 1 __ 2

5 5 6

Part ACreate a line plot using the measurements shown.

Lengths of Boards (feet)

4 5 6

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Part BThe measure of the sandbox will be 1 foot high, 6 feet wide, and 5 1 __

2 feet

long. Draw and label the sandbox. What is the total length of the boards that will not be used?

Find the volume of the sand you need to buy, in cubic inches, to fill the finished sandbox to the top.

Part CSuppose you want the sandbox to be 3 feet wide instead of six feet wide. How will the new volume compare to the volume of the sandbox in Part B? Explain your reasoning.

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